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202101255151031 = 3779167414022291
BaseRepresentation
bin101101111100111101011101…
…100001011001110110110111
3222111120200122221220112022102
4231330331131201121312313
5202442211332304313111
61553500011311452315
760366222335356535
oct5574753541316667
9874520587815272
10202101255151031
115943972a844835
121a8006b152709b
1388a00b3396cb2
1437c9a780dd155
1518571b658813b
hexb7cf5d859db7

202101255151031 has 16 divisors (see below), whose sum is σ = 211449464970240. Its totient is φ = 192987381993120.

The previous prime is 202101255150989. The next prime is 202101255151039. The reversal of 202101255151031 is 130151552101202.

It is a cyclic number.

It is not a de Polignac number, because 202101255151031 - 246 = 131732510973367 is a prime.

It is a super-2 number, since 2×2021012551510312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202101255150985 and 202101255151003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101255151039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206523005 + ... + 207499286.

It is an arithmetic number, because the mean of its divisors is an integer number (13215591560640).

Almost surely, 2202101255151031 is an apocalyptic number.

202101255151031 is a deficient number, since it is larger than the sum of its proper divisors (9348209819209).

202101255151031 is a wasteful number, since it uses less digits than its factorization.

202101255151031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414022574.

The product of its (nonzero) digits is 3000, while the sum is 29.

The spelling of 202101255151031 in words is "two hundred two trillion, one hundred one billion, two hundred fifty-five million, one hundred fifty-one thousand, thirty-one".

Divisors: 1 37 79 167 2923 6179 13193 488141 414022291 15318824767 32707760989 69141722597 1210187156593 2558243736089 5462196085163 202101255151031