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310320311001113 = 71923619717144671
BaseRepresentation
bin100011010001111000001001…
…1111001110110000000011001
31111200202022222000211122000002
41012203300103321312000121
5311133241444104013423
63015555103253422345
7122235621410542520
oct10643602371660031
91450668860748002
10310320311001113
118a972117587576
122a97a1a433a9b5
1310420106316a9a
14568b8243c74b7
1525d2224160228
hex11a3c13e76019

310320311001113 has 64 divisors (see below), whose sum is σ = 400016743956480. Its totient is φ = 234637838899200.

The previous prime is 310320311001101. The next prime is 310320311001161. The reversal of 310320311001113 is 311100113023013.

It is a cyclic number.

It is not a de Polignac number, because 310320311001113 - 26 = 310320311001049 is a prime.

It is a super-3 number, since 3×3103203110011133 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (310320311001013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9527768 + ... + 26672438.

It is an arithmetic number, because the mean of its divisors is an integer number (6250261624320).

Almost surely, 2310320311001113 is an apocalyptic number.

It is an amenable number.

310320311001113 is a deficient number, since it is larger than the sum of its proper divisors (89696432955367).

310320311001113 is a wasteful number, since it uses less digits than its factorization.

310320311001113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17144878.

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

Adding to 310320311001113 its reverse (311100113023013), we get a palindrome (621420424024126).

The spelling of 310320311001113 in words is "three hundred ten trillion, three hundred twenty billion, three hundred eleven million, one thousand, one hundred thirteen".

Divisors: 1 7 19 23 61 97 133 161 427 437 679 1159 1403 1843 2231 3059 5917 8113 9821 12901 15617 26657 41419 42389 112423 136091 186599 296723 786961 952637 2585729 17144671 18100103 120012697 325748749 394327433 1045824931 1663033087 2280241243 2760292031 7320774517 7492221227 11641231609 19870673689 24053973413 31597628653 38249761001 52445548589 101445018307 139094715823 168377813891 221183400571 267748327007 457025494847 710115128149 726745459019 1927455347833 2333235421061 3199178463929 5087218213133 13492187434831 16332647947427 44331473000159 310320311001113