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31113072173105 = 51317311151789121
BaseRepresentation
bin1110001001100000100111…
…00111010110000000110001
311002011101021111100201120022
413010300103213112000301
513034224032434014410
6150101051550453225
76360562634635466
oct704602347260061
9132141244321508
1031113072173105
119a05a8614219a
1235a5b08b04215
131448c47538ba0
14797c48a0966d
1538e4c81d6455
hex1c4c139d6031

31113072173105 has 64 divisors (see below), whose sum is σ = 43984372432896. Its totient is φ = 20908523520000.

The previous prime is 31113072173089. The next prime is 31113072173107. The reversal of 31113072173105 is 50137127031113.

It is not a de Polignac number, because 31113072173105 - 24 = 31113072173089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31113072173107) 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, 39032945 + ... + 39822065.

It is an arithmetic number, because the mean of its divisors is an integer number (687255819264).

Almost surely, 231113072173105 is an apocalyptic number.

It is an amenable number.

31113072173105 is a deficient number, since it is larger than the sum of its proper divisors (12871300259791).

31113072173105 is a wasteful number, since it uses less digits than its factorization.

31113072173105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790338.

The product of its (nonzero) digits is 13230, while the sum is 35.

The spelling of 31113072173105 in words is "thirty-one trillion, one hundred thirteen billion, seventy-two million, one hundred seventy-three thousand, one hundred five".

Divisors: 1 5 13 17 31 65 85 155 221 403 527 1105 1151 2015 2635 5755 6851 14963 19567 34255 35681 74815 97835 178405 254371 463853 606577 789121 1271855 2319265 3032885 3945605 7885501 10258573 13415057 24462751 39427505 51292865 67075285 122313755 174395741 318015763 415866767 871978705 908278271 1590078815 2079333835 4541391355 5406267971 11807617523 15440730607 27031339855 28156626401 59038087615 77203653035 140783132005 200729497891 366036143213 478662648817 1003647489455 1830180716065 2393313244085 6222614434621 31113072173105