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31113211231113 = 31129612617203657
BaseRepresentation
bin1110001001100000110111…
…11001110011101110001001
311002011101122012000121021220
413010300123321303232021
513034224324033343423
6150101113435152253
76360566243623434
oct704603371635611
9132141565017256
1031113211231113
119a06047690570
1235a5b475a5689
131448c6a2a652b
14797c5d28681b
1538e4d55039e3
hex1c4c1be73b89

31113211231113 has 64 divisors (see below), whose sum is σ = 47602010776320. Its totient is φ = 17900873625600.

The previous prime is 31113211231087. The next prime is 31113211231139.

31113211231113 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (31113211231087) and next prime (31113211231139).

It is not a de Polignac number, because 31113211231113 - 26 = 31113211231049 is a prime.

It is a super-2 number, since 2×311132112311132 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31113211231153) 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, 152670781 + ... + 152874437.

It is an arithmetic number, because the mean of its divisors is an integer number (743781418380).

Almost surely, 231113211231113 is an apocalyptic number.

31113211231113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31113211231113 is a deficient number, since it is larger than the sum of its proper divisors (16488799545207).

31113211231113 is a wasteful number, since it uses less digits than its factorization.

31113211231113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206378.

The product of its digits is 324, while the sum is 24.

It can be divided in two parts, 3111321 and 1231113, that added together give a palindrome (4342434).

The spelling of 31113211231113 in words is "thirty-one trillion, one hundred thirteen billion, two hundred eleven million, two hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 3 11 29 33 61 87 183 319 671 957 1769 2013 2617 5307 7851 19459 28787 58377 75893 86361 159637 203657 227679 478911 610971 834823 1756007 2240227 2504469 4629473 5268021 5906053 6720681 12423077 13888419 17718159 37269231 50924203 64966583 136653847 152772609 194899749 360269233 409961541 532970369 1080807699 1598911107 3962961563 5862674059 11888884689 15456140701 17588022177 32511192509 46368422103 97533577527 170017547711 357623117599 510052643133 942824582761 1072869352797 2828473748283 10371070410371 31113211231113