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211012111211112 = 233223912262442539
BaseRepresentation
bin101111111110101000010101…
…111011101001101001101000
31000200010120010211200000012100
4233332220111323221221220
5210124210300432223422
62024441343050213400
762306056553222421
oct5776502573515150
91020116124600170
10211012111211112
1161264808782442
121b7bb689124260
1390984838b5133
143a1707d886648
15195dd98b357ac
hexbfea15ee9a68

211012111211112 has 48 divisors (see below), whose sum is σ = 573882310872000. Its totient is φ = 70043071777056.

The previous prime is 211012111211089. The next prime is 211012111211119. The reversal of 211012111211112 is 211112111210112.

211012111211112 is a `hidden beast` number, since 211 + 0 + 121 + 11 + 211 + 112 = 666.

It is a super-2 number, since 2×2110121112111122 (a number of 29 digits) contains 22 as substring.

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 (211012111211119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6131204062 + ... + 6131238477.

It is an arithmetic number, because the mean of its divisors is an integer number (11955881476500).

Almost surely, 2211012111211112 is an apocalyptic number.

It is an amenable number.

211012111211112 is an abundant number, since it is smaller than the sum of its proper divisors (362870199660888).

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

211012111211112 is a wasteful number, since it uses less digits than its factorization.

211012111211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12262442790 (or 12262442783 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 211012111211112 its reverse (211112111210112), we get a palindrome (422124222421224).

The spelling of 211012111211112 in words is "two hundred eleven trillion, twelve billion, one hundred eleven million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 239 478 717 956 1434 1912 2151 2868 4302 5736 8604 17208 12262442539 24524885078 36787327617 49049770156 73574655234 98099540312 110361982851 147149310468 220723965702 294298620936 441447931404 882895862808 2930723766821 5861447533642 8792171300463 11722895067284 17584342600926 23445790134568 26376513901389 35168685201852 52753027802778 70337370403704 105506055605556 211012111211112