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212300121020031 = 32112172674566111
BaseRepresentation
bin110000010001010111111001…
…010011001001011001111111
31000211200200201110100122101100
4300101113321103021121333
5210311311121440120111
62031305155034344143
762501114624032602
oct6021277123113177
91024620643318340
10212300121020031
1161710a80732600
121b989228b8b053
13915ca7a8a0645
143a5d548848339
1519826300c6756
hexc115f94c967f

212300121020031 has 54 divisors (see below), whose sum is σ = 358061715947936. Its totient is φ = 121098108067200.

The previous prime is 212300121020017. The next prime is 212300121020059. The reversal of 212300121020031 is 130020121003212.

212300121020031 is a `hidden beast` number, since 2 + 12 + 300 + 121 + 0 + 200 + 31 = 666.

It is not a de Polignac number, because 212300121020031 - 211 = 212300121017983 is a prime.

It is a super-2 number, since 2×2123001210200312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212300121019986 and 212300121020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212300121020011) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 336968335 + ... + 337597776.

Almost surely, 2212300121020031 is an apocalyptic number.

212300121020031 is a deficient number, since it is larger than the sum of its proper divisors (145761594927905).

212300121020031 is a wasteful number, since it uses less digits than its factorization.

212300121020031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674566173 (or 674566142 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212300121020031 its reverse (130020121003212), we get a palindrome (342320242023243).

The spelling of 212300121020031 in words is "two hundred twelve trillion, three hundred billion, one hundred twenty-one million, twenty thousand, thirty-one".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 289 363 561 867 1089 1683 2057 2601 3179 6171 9537 18513 28611 34969 104907 314721 674566111 2023698333 6071094999 7420227221 11467623887 22260681663 34402871661 66782044989 81622499431 103208614983 126143862757 194949606079 244867498293 378431588271 584848818237 734602494879 1135294764813 1387582490327 1754546454711 2144445666869 4162747470981 6433337000607 12488242412943 19300011001821 23588902335559 70766707006677 212300121020031