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31013223013113 = 311194311310179641
BaseRepresentation
bin1110000110100110101000…
…01001000001101011111001
311001210211112211112211220120
413003103110021001223321
513031110040042404423
6145543140012443453
76350426402035665
oct703232411015371
9131724484484816
1031013223013113
1199776a7972460
12358a6a1779589
13143c6c40607b3
14793095a118a5
1538bad2344ee3
hex1c34d4241af9

31013223013113 has 64 divisors (see below), whose sum is σ = 49018640901120. Its totient is φ = 17238609561600.

The previous prime is 31013223013111. The next prime is 31013223013183. The reversal of 31013223013113 is 31131032231013.

It is not a de Polignac number, because 31013223013113 - 21 = 31013223013111 is a prime.

It is a super-2 number, since 2×310132230131132 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31013223013111) 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, 2043228 + ... + 8136413.

It is an arithmetic number, because the mean of its divisors is an integer number (765916264080).

Almost surely, 231013223013113 is an apocalyptic number.

31013223013113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31013223013113 is a deficient number, since it is larger than the sum of its proper divisors (18005417888007).

31013223013113 is a wasteful number, since it uses less digits than its factorization.

31013223013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179830.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 31013223013113 its reverse (31131032231013), we get a palindrome (62144255244126).

The spelling of 31013223013113 in words is "thirty-one trillion, thirteen billion, two hundred twenty-three million, thirteen thousand, one hundred thirteen".

Divisors: 1 3 11 19 33 43 57 113 129 209 339 473 627 817 1243 1419 2147 2451 3729 4859 6441 8987 14577 23617 26961 53449 70851 92321 160347 276963 1015531 3046593 10179641 30538923 111976051 193413179 335928153 437724563 580239537 1150299433 1313173689 2127544969 3450898299 4814970193 6382634907 8316766697 12653293763 14444910579 21855689227 24950300091 37959881289 49462875619 65567067681 91484433667 148388626857 240412581497 274453301001 544091631809 721237744491 939794636761 1632274895427 2819383910283 10337741004371 31013223013113