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212131010120 = 23516372744753
BaseRepresentation
bin1100010110001111111…
…1100101011001001000
3202021112202220211221112
43011203333211121020
511433421014310440
6241241315425452
721216542556311
oct3054377453110
9667482824845
10212131010120
1181a674746a7
12351422b5288
1317008664183
14a3a5283608
1557b8472965
hex3163fe5648

212131010120 has 64 divisors (see below), whose sum is σ = 480894261120. Its totient is φ = 84213955584.

The previous prime is 212131010107. The next prime is 212131010153. The reversal of 212131010120 is 21010131212.

It is a junction number, because it is equal to n+sod(n) for n = 212131010095 and 212131010104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4717664 + ... + 4762416.

It is an arithmetic number, because the mean of its divisors is an integer number (7513972830).

Almost surely, 2212131010120 is an apocalyptic number.

212131010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212131010120 is an abundant number, since it is smaller than the sum of its proper divisors (268763251000).

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

212131010120 is a wasteful number, since it uses less digits than its factorization.

212131010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45654 (or 45650 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 212131010120 its reverse (21010131212), we get a palindrome (233141141332).

The spelling of 212131010120 in words is "two hundred twelve billion, one hundred thirty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 163 326 652 727 815 1304 1454 1630 2908 3260 3635 5816 6520 7270 14540 29080 44753 89506 118501 179012 223765 237002 358024 447530 474004 592505 895060 948008 1185010 1790120 2370020 4740040 7294739 14589478 29178956 32535431 36473695 58357912 65070862 72947390 130141724 145894780 162677155 260283448 291789560 325354310 650708620 1301417240 5303275253 10606550506 21213101012 26516376265 42426202024 53032752530 106065505060 212131010120