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311013214204242 = 2311231735111808169
BaseRepresentation
bin100011010110111010110100…
…0001001110011000101010010
31111210012120110122110101121110
41012231311220021303011102
5311231120030314013432
63021245255334034150
7122336651244565254
oct10655655011630522
91453176418411543
10311013214204242
1190109a66358690
122aa705401a8956
13104705603b9224
1456b3196d75cd4
1525e527a17cdcc
hex11add68273152

311013214204242 has 64 divisors (see below), whose sum is σ = 708118384343040. Its totient is φ = 90143554512000.

The previous prime is 311013214204241. The next prime is 311013214204261. The reversal of 311013214204242 is 242402412310113.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (311013214204241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20434734 + ... + 32242902.

It is an arithmetic number, because the mean of its divisors is an integer number (11064349755360).

Almost surely, 2311013214204242 is an apocalyptic number.

311013214204242 is an abundant number, since it is smaller than the sum of its proper divisors (397105170138798).

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

311013214204242 is a wasteful number, since it uses less digits than its factorization.

311013214204242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825559.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 311013214204242 its reverse (242402412310113), we get a palindrome (553415626514355).

The spelling of 311013214204242 in words is "three hundred eleven trillion, thirteen billion, two hundred fourteen million, two hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 17351 34702 52053 104106 190861 381722 399073 572583 798146 1145166 1197219 2394438 4389803 8779606 11808169 13169409 23616338 26338818 35424507 70849014 129889859 259779718 271587887 389669577 543175774 779339154 814763661 1629527322 2987466757 5974933514 8962400271 17924800542 204883540319 409767080638 614650620957 1229301241914 2253718943509 4507437887018 4712321427337 6761156830527 9424642854674 13522313661054 14136964282011 28273928564022 51835535700707 103671071401414 155506607102121 311013214204242