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31312044021313 = 11537313736714633
BaseRepresentation
bin1110001111010011001110…
…10000101101011001000001
311002212101212011222212221201
413013221213100231121001
513101004031232140223
6150332315432021201
76411135432511426
oct707514720553101
9132771764885851
1031312044021313
119a823aa601770
123618598231801
131461936842203
147a3722331d4d
15394771267ead
hex1c7a6742d641

31312044021313 has 64 divisors (see below), whose sum is σ = 35636634381312. Its totient is φ = 27268391854080.

The previous prime is 31312044021263. The next prime is 31312044021371.

31312044021313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31312044021313 - 29 = 31312044020801 is a prime.

It is a super-3 number, since 3×313120440213133 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31312044021113) 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, 2139816645 + ... + 2139831277.

It is an arithmetic number, because the mean of its divisors is an integer number (556822412208).

Almost surely, 231312044021313 is an apocalyptic number.

It is an amenable number.

31312044021313 is a deficient number, since it is larger than the sum of its proper divisors (4324590359999).

31312044021313 is a wasteful number, since it uses less digits than its factorization.

31312044021313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15274.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 3131204 and 4021313, that added together give a palindrome (7152517).

The spelling of 31312044021313 in words is "thirty-one trillion, three hundred twelve billion, forty-four million, twenty-one thousand, three hundred thirteen".

Divisors: 1 11 53 73 137 367 583 803 1507 3869 4037 7261 10001 14633 19451 26791 42559 50279 79871 110011 160963 213961 294701 530053 553069 775549 1068209 1419923 2004721 2664787 3670367 5370311 5830583 8531039 11750299 15619153 22051931 29312657 40374037 56615077 59073421 106250213 146344633 194529451 284626483 392032703 622765847 735732607 1168752343 1609790963 2139823961 3130891313 4312359733 7756265549 8093058677 20777733259 38993828171 53708480311 85318921039 228555065849 428932109881 590793283421 2846549456483 31312044021313