Search a number
-
+
313110102033201 = 311193971277985027
BaseRepresentation
bin100011100110001011010000…
…0011010000100001100110001
31112001122000220100211220202010
41013030112200122010030301
5312014443442110030301
63025532443425313133
7122644313134213014
oct10714264032041461
91461560810756663
10313110102033201
119084828091a390
122b14aa037957a9
13105932047631b5
14574687740137b
15262eaa40455d6
hex11cc5a0684331

313110102033201 has 64 divisors (see below), whose sum is σ = 480987438750720. Its totient is φ = 179182691170560.

The previous prime is 313110102033199. The next prime is 313110102033217. The reversal of 313110102033201 is 102330201011313.

It is a happy number.

It is not a de Polignac number, because 313110102033201 - 21 = 313110102033199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313110102033101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317377050 + ... + 318362076.

It is an arithmetic number, because the mean of its divisors is an integer number (7515428730480).

Almost surely, 2313110102033201 is an apocalyptic number.

It is an amenable number.

313110102033201 is a deficient number, since it is larger than the sum of its proper divisors (167877336717519).

313110102033201 is a wasteful number, since it uses less digits than its factorization.

313110102033201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986734.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 313110102033201 its reverse (102330201011313), we get a palindrome (415440303044514).

The spelling of 313110102033201 in words is "three hundred thirteen trillion, one hundred ten billion, one hundred two million, thirty-three thousand, two hundred one".

Divisors: 1 3 11 19 33 57 209 397 627 1191 1277 3831 4367 7543 13101 14047 22629 24263 42141 72789 82973 248919 266893 506969 800679 985027 1520907 2955081 5576659 9632411 10835297 16729977 18715513 28897233 32505891 56146539 105956521 205870643 317869563 391055719 617611929 1173167157 1257879479 3773638437 4301612909 7430058661 12904838727 13836674269 22290175983 23899710101 41510022807 71699130303 81730645271 245191935813 262896811111 499378153163 788690433333 1498134459489 5493159684793 9488184910097 16479479054379 28464554730291 104370034011067 313110102033201