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211112112010120 = 23516350413227933
BaseRepresentation
bin110000000000000101011110…
…011100011011001110001000
31000200111010021001210221110221
4300000011132130123032020
5210132330101133310440
62024555322042315424
762316226640046406
oct6000053634331610
91020433231727427
10211112112010120
11612a3164603882
121b816b371b8b74
1390a4a2c614459
143a1bc48a74476
15196179ce7bd4a
hexc0015e71b388

211112112010120 has 32 divisors (see below), whose sum is σ = 475002689690520. Its totient is φ = 84444766996480.

The previous prime is 211112112010087. The next prime is 211112112010139. The reversal of 211112112010120 is 21010211211112.

It can be written as a sum of positive squares in 4 ways, for example, as 166650181401636 + 44461930608484 = 12909306^2 + 6667978^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211112112010094 and 211112112010103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63787674 + ... + 67015606.

Almost surely, 2211112112010120 is an apocalyptic number.

211112112010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112112010120 is an abundant number, since it is smaller than the sum of its proper divisors (263890577680400).

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

211112112010120 is a wasteful number, since it uses less digits than its factorization.

211112112010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862985 (or 4862981 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 211112112010120 its reverse (21010211211112), we get a palindrome (232122323221232).

The spelling of 211112112010120 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1635041 3227933 3270082 6455866 6540164 8175205 12911732 13080328 16139665 16350410 25823464 32279330 32700820 64558660 65401640 129117320 5277802800253 10555605600506 21111211201012 26389014001265 42222422402024 52778028002530 105556056005060 211112112010120