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200301122111130 = 233559109111525051
BaseRepresentation
bin101101100010110000111101…
…001110110100011010011010
3222021012121012121000020102000
4231202300331032310122122
5202223213144230024010
61550001022025221430
760122164350114165
oct5542607516643232
9867177177006360
10200301122111130
1158905257657317
121a56b848631876
13879c412710771
1437668a9bbcadc
15182545a0007c0
hexb62c3d3b469a

200301122111130 has 128 divisors (see below), whose sum is σ = 543687413068800. Its totient is φ = 52460183592000.

The previous prime is 200301122111093. The next prime is 200301122111137. The reversal of 200301122111130 is 31111221103002.

200301122111130 is a `hidden beast` number, since 2 + 0 + 0 + 301 + 1 + 221 + 11 + 130 = 666.

It is a super-3 number, since 3×2003011221111303 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (200301122111137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11617105 + ... + 23142155.

It is an arithmetic number, because the mean of its divisors is an integer number (4247557914600).

Almost surely, 2200301122111130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200301122111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271843706534400).

200301122111130 is an abundant number, since it is smaller than the sum of its proper divisors (343386290957670).

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

200301122111130 is a wasteful number, since it uses less digits than its factorization.

200301122111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11526217 (or 11526211 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 200301122111130 its reverse (31111221103002), we get a palindrome (231412343214132).

The spelling of 200301122111130 in words is "two hundred trillion, three hundred one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 885 1062 1091 1593 1770 2182 2655 3186 3273 5310 5455 6546 7965 9819 10910 15930 16365 19638 29457 32730 49095 58914 64369 98190 128738 147285 193107 294570 321845 386214 579321 643690 965535 1158642 1737963 1931070 2896605 3475926 5793210 8689815 11525051 17379630 23050102 34575153 57625255 69150306 103725459 115250510 172875765 207450918 311176377 345751530 518627295 622352754 679978009 1037254590 1359956018 1555881885 2039934027 3111763770 3399890045 4079868054 6119802081 6799780090 10199670135 12239604162 12573830641 18359406243 20399340270 25147661282 30599010405 36718812486 37721491923 61198020810 62869153205 75442983846 91797031215 113164475769 125738306410 183594062430 188607459615 226328951538 339493427307 377214919230 565822378845 678986854614 741856007819 1131644757690 1483712015638 1697467136535 2225568023457 3394934273070 3709280039095 4451136046914 6676704070371 7418560078190 11127840117285 13353408140742 20030112211113 22255680234570 33383520351855 40060224422226 66767040703710 100150561055565 200301122111130