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211012101212202 = 23230757381145577
BaseRepresentation
bin101111111110101000010101…
…010101100000100000101010
31000200010120010010212000021100
4233332220111111200200222
5210124210240402242302
62024441342052022230
762306056402226163
oct5776502525404052
91020116103760240
10211012101212202
1161264803073084
121b7bb685901976
1390984817c3c14
143a1707c40276a
15195dd97d0cd1c
hexbfea1556082a

211012101212202 has 24 divisors (see below), whose sum is σ = 457207751836836. Its totient is φ = 70335080012736.

The previous prime is 211012101212183. The next prime is 211012101212221. The reversal of 211012101212202 is 202212101210112.

211012101212202 is a `hidden beast` number, since 2 + 110 + 1 + 210 + 121 + 220 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (211012101212183) and next prime (211012101212221).

It can be written as a sum of positive squares in 2 ways, for example, as 208541643422841 + 2470457789361 = 14440971^2 + 1571769^2 .

It is a super-2 number, since 2×2110121012122022 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190019163 + ... + 191126414.

Almost surely, 2211012101212202 is an apocalyptic number.

211012101212202 is an abundant number, since it is smaller than the sum of its proper divisors (246195650624634).

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

211012101212202 is a wasteful number, since it uses less digits than its factorization.

211012101212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381176342 (or 381176339 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211012101212202 its reverse (202212101210112), we get a palindrome (413224202422314).

The spelling of 211012101212202 in words is "two hundred eleven trillion, twelve billion, one hundred one million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 30757 61514 92271 184542 276813 553626 381145577 762291154 1143436731 2286873462 3430310193 6860620386 11722894511789 23445789023578 35168683535367 70337367070734 105506050606101 211012101212202