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211121102211012 = 223277731083806147
BaseRepresentation
bin110000000000001101110110…
…010011010100011111000100
31000200111222110121110110122100
4300000031312103110133010
5210133002004131223022
62025003410113432100
762316665503355550
oct6000156623243704
91020458417413570
10211121102211012
11612a6a58311874
121b818825b6b630
1390a5833043456
143a1c45ca58860
151961b273701ac
hexc003764d47c4

211121102211012 has 72 divisors (see below), whose sum is σ = 610694417825856. Its totient is φ = 60242280819264.

The previous prime is 211121102211011. The next prime is 211121102211013. The reversal of 211121102211012 is 210112201121112.

It is a happy number.

211121102211012 is a `hidden beast` number, since 211 + 1 + 211 + 0 + 221 + 10 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (211121102211011) and next prime (211121102211013).

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 (211121102211011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541708278 + ... + 542097869.

It is an arithmetic number, because the mean of its divisors is an integer number (8481866914248).

Almost surely, 2211121102211012 is an apocalyptic number.

It is an amenable number.

211121102211012 is an abundant number, since it is smaller than the sum of its proper divisors (399573315614844).

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

211121102211012 is a wasteful number, since it uses less digits than its factorization.

211121102211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083806937 (or 1083806932 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211121102211012 its reverse (210112201121112), we get a palindrome (421233303332124).

The spelling of 211121102211012 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred two million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 773 1546 2319 3092 4638 5411 6957 9276 10822 13914 16233 21644 27828 32466 48699 64932 97398 194796 1083806147 2167612294 3251418441 4335224588 6502836882 7586643029 9754255323 13005673764 15173286058 19508510646 22759929087 30346572116 39017021292 45519858174 68279787261 91039716348 136559574522 273119149044 837782151631 1675564303262 2513346454893 3351128606524 5026692909786 5864475061417 7540039364679 10053385819572 11728950122834 15080078729358 17593425184251 23457900245668 30160157458716 35186850368502 52780275552753 70373700737004 105560551105506 211121102211012