Search a number
-
+
311300121003113 = 1125994794291607
BaseRepresentation
bin100011011001000000011010…
…1001000011000010001101001
31111211020000000200012212222102
41012302000311020120101221
5311300320121434044423
63022025145030303145
7122366456125255604
oct10662006510302151
91454200020185872
10311300121003113
119020a704802100
122aab80707b7ab5
1310491624743138
1456c301320b33b
1525ec96d129c28
hex11b2035218469

311300121003113 has 12 divisors (see below), whose sum is σ = 342173510790720. Its totient is φ = 282999571983480.

The previous prime is 311300121003103. The next prime is 311300121003139.

311300121003113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311300121003113 - 24 = 311300121003097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311300121003103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70391156 + ... + 74682762.

It is an arithmetic number, because the mean of its divisors is an integer number (28514459232560).

Almost surely, 2311300121003113 is an apocalyptic number.

It is an amenable number.

311300121003113 is a deficient number, since it is larger than the sum of its proper divisors (30873389787607).

311300121003113 is a wasteful number, since it uses less digits than its factorization.

311300121003113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891108 (or 4891097 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 311300121003113 in words is "three hundred eleven trillion, three hundred billion, one hundred twenty-one million, three thousand, one hundred thirteen".

Divisors: 1 11 121 599479 4291607 6594269 47207677 72536959 519284447 2572728272753 28300011000283 311300121003113