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202100102120120 = 23539040712941629
BaseRepresentation
bin101101111100111100011000…
…110010111100001010111000
3222111120120200121021111020212
4231330330120302330022320
5202442202002120320440
61553455301042210252
760366151634643431
oct5574743062741270
9874516617244225
10202100102120120
11594391989a9626
121a80042b353988
13889cc5b539499
1437c99a8d18488
15185714a229465
hexb7cf18cbc2b8

202100102120120 has 32 divisors (see below), whose sum is σ = 454726429653600. Its totient is φ = 80839827535488.

The previous prime is 202100102120113. The next prime is 202100102120123. The reversal of 202100102120120 is 21021201001202.

It is a junction number, because it is equal to n+sod(n) for n = 202100102120095 and 202100102120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100102120123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9145466 + ... + 22087094.

It is an arithmetic number, because the mean of its divisors is an integer number (14210200926675).

Almost surely, 2202100102120120 is an apocalyptic number.

202100102120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100102120120 is an abundant number, since it is smaller than the sum of its proper divisors (252626327533480).

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

202100102120120 is a wasteful number, since it uses less digits than its factorization.

202100102120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13332047 (or 13332043 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202100102120120 its reverse (21021201001202), we get a palindrome (223121303121322).

The spelling of 202100102120120 in words is "two hundred two trillion, one hundred billion, one hundred two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 390407 780814 1561628 1952035 3123256 3904070 7808140 12941629 15616280 25883258 51766516 64708145 103533032 129416290 258832580 517665160 5052502553003 10105005106006 20210010212012 25262512765015 40420020424024 50525025530030 101050051060060 202100102120120