Search a number
-
+
212102030110032 = 24338341914117863
BaseRepresentation
bin110000001110011111011010…
…001010010010110101010000
31000210222202102011100210001000
4300032133122022102311100
5210300034424202010112
62031034154422542000
762450603014054626
oct6016373212226520
91023882364323030
10212102030110032
1161644a69565a37
121b956964897900
13914719bc4862a
143a53b16119516
15197c3d95587dc
hexc0e7da292d50

212102030110032 has 160 divisors (see below), whose sum is σ = 617617019980800. Its totient is φ = 69682152659328.

The previous prime is 212102030109941. The next prime is 212102030110051. The reversal of 212102030110032 is 230011030201212.

212102030110032 is a `hidden beast` number, since 2 + 1 + 210 + 20 + 301 + 100 + 32 = 666.

It is a super-2 number, since 2×2121020301100322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212102030109987 and 212102030110014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7964733 + ... + 22082595.

It is an arithmetic number, because the mean of its divisors is an integer number (3860106374880).

Almost surely, 2212102030110032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102030110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308808509990400).

212102030110032 is an abundant number, since it is smaller than the sum of its proper divisors (405514989870768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212102030110032 is a wasteful number, since it uses less digits than its factorization.

212102030110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14118382 (or 14118370 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212102030110032 its reverse (230011030201212), we get a palindrome (442113060311244).

The spelling of 212102030110032 in words is "two hundred twelve trillion, one hundred two billion, thirty million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 419 432 498 664 747 838 996 1257 1328 1494 1676 1992 2241 2514 2988 3352 3771 3984 4482 5028 5976 6704 7542 8964 10056 11313 11952 15084 17928 20112 22626 30168 34777 35856 45252 60336 69554 90504 104331 139108 181008 208662 278216 312993 417324 556432 625986 834648 938979 1251972 1669296 1877958 2503944 3755916 5007888 7511832 14117863 15023664 28235726 42353589 56471452 84707178 112942904 127060767 169414356 225885808 254121534 338828712 381182301 508243068 677657424 762364602 1016486136 1171782629 1524729204 2032972272 2343565258 3049458408 3515347887 4687130516 5915384597 6098916816 7030695774 9374261032 10546043661 11830769194 14061391548 17746153791 18748522064 21092087322 23661538388 28122783096 31638130983 35492307582 42184174644 47323076776 53238461373 56245566192 63276261966 70984615164 84368349288 94646153552 106476922746 126552523932 141969230328 159715384119 168736698576 212953845492 253105047864 283938460656 319430768238 425907690984 490976921551 506210095728 638861536476 851815381968 981953843102 1277723072952 1472930764653 1963907686204 2555446145904 2945861529306 3927815372408 4418792293959 5891723058612 7855630744816 8837584587918 11783446117224 13256376881877 17675169175836 23566892234448 26512753763754 35350338351672 53025507527508 70700676703344 106051015055016 212102030110032