Search a number
-
+
212100012020120 = 23572179216038407
BaseRepresentation
bin110000001110011101100001…
…110111111001000110011000
31000210222120012111222012010012
4300032131201313321012120
5210300021311034120440
62031033222252141052
762450502010430600
oct6016354167710630
91023876174865105
10212100012020120
1161644123393134
121b9564a0a67788
139146c39b093a3
143a539a40b1c00
15197c31c2c0e65
hexc0e761df9198

212100012020120 has 96 divisors (see below), whose sum is σ = 555170386142880. Its totient is φ = 72715934269440.

The previous prime is 212100012020077. The next prime is 212100012020161. The reversal of 212100012020120 is 21020210001212.

212100012020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212100012020095 and 212100012020104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32105957 + ... + 38144363.

It is an arithmetic number, because the mean of its divisors is an integer number (5783024855655).

Almost surely, 2212100012020120 is an apocalyptic number.

212100012020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100012020120 is an abundant number, since it is smaller than the sum of its proper divisors (343070374122760).

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

212100012020120 is a wasteful number, since it uses less digits than its factorization.

212100012020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056353 (or 6056342 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212100012020120 its reverse (21020210001212), we get a palindrome (233120222021332).

The spelling of 212100012020120 in words is "two hundred twelve trillion, one hundred billion, twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 17921 35842 71684 89605 125447 143368 179210 250894 358420 501788 627235 716840 878129 1003576 1254470 1756258 2508940 3512516 4390645 5017880 6038407 7025032 8781290 12076814 17562580 24153628 30192035 35125160 42268849 48307256 60384070 84537698 120768140 169075396 211344245 241536280 295881943 338150792 422688490 591763886 845376980 1183527772 1479409715 1690753960 2367055544 2958819430 5917638860 11835277720 108214291847 216428583694 432857167388 541071459235 757500042929 865714334776 1082142918470 1515000085858 2164285836940 3030000171716 3787500214645 4328571673880 5302500300503 6060000343432 7575000429290 10605000601006 15150000858580 21210001202012 26512501502515 30300001717160 42420002404024 53025003005030 106050006010060 212100012020120