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313200113121 = 327113127346417
BaseRepresentation
bin1001000111011000010…
…11100111010111100001
31002221102110021020210200
410203230023213113201
520112413212104441
6355514313215413
731425251015220
oct4435413472741
91087373236720
10313200113121
111109113316a5
125084a101569
13236c47c722c
14112322bccb7
15823148d7b6
hex48ec2e75e1

313200113121 has 48 divisors (see below), whose sum is σ = 525712871424. Its totient is φ = 175990413312.

The previous prime is 313200113111. The next prime is 313200113147. The reversal of 313200113121 is 121311002313.

313200113121 is a `hidden beast` number, since 31 + 320 + 0 + 1 + 1 + 312 + 1 = 666.

313200113121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 313200113121 - 25 = 313200113089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313200113094 and 313200113103.

It is not an unprimeable number, because it can be changed into a prime (313200113111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730905 + ... + 1077321.

It is an arithmetic number, because the mean of its divisors is an integer number (10952351488).

Almost surely, 2313200113121 is an apocalyptic number.

It is an amenable number.

313200113121 is a deficient number, since it is larger than the sum of its proper divisors (212512758303).

313200113121 is a wasteful number, since it uses less digits than its factorization.

313200113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346670 (or 346667 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313200113121 its reverse (121311002313), we get a palindrome (434511115434).

The spelling of 313200113121 in words is "three hundred thirteen billion, two hundred million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 113 127 339 381 791 889 1017 1143 2373 2667 7119 8001 14351 43053 100457 129159 301371 346417 904113 1039251 2424919 3117753 7274757 21824271 39145121 43994959 117435363 131984877 274015847 307964713 352306089 395954631 822047541 923894139 2466142623 2771682417 4971430367 14914291101 34800012569 44742873303 104400037707 313200113121