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31031044222100 = 22521340015966017
BaseRepresentation
bin1110000111000111110100…
…10111100010110010010100
311001212112112211022001202212
413003203322113202302110
513031403034310101400
6145555244231052552
76351630126566336
oct703437227426224
9131775484261685
1031031044222100
11998421253854a
123592035b11158
1314412a4221580
14793ca67bb456
1538c2c6b83335
hex1c38fa5e2c94

31031044222100 has 72 divisors (see below), whose sum is σ = 72535300261368. Its totient is φ = 11454750720000.

The previous prime is 31031044222069. The next prime is 31031044222117. The reversal of 31031044222100 is 122244013013.

It can be written as a sum of positive squares in 12 ways, for example, as 29423920081924 + 1607124140176 = 5424382^2 + 1267724^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2218292 + ... + 8184308.

Almost surely, 231031044222100 is an apocalyptic number.

It is an amenable number.

31031044222100 is an abundant number, since it is smaller than the sum of its proper divisors (41504256039268).

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

31031044222100 is a wasteful number, since it uses less digits than its factorization.

31031044222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970045 (or 5970038 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 31031044222100 its reverse (122244013013), we get a palindrome (31153288235113).

The spelling of 31031044222100 in words is "thirty-one trillion, thirty-one billion, forty-four million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 4001 8002 16004 20005 40010 52013 80020 100025 104026 200050 208052 260065 400100 520130 1040260 1300325 2600650 5201300 5966017 11932034 23864068 29830085 59660170 77558221 119320340 149150425 155116442 298300850 310232884 387791105 596601700 775582210 1551164420 1938955525 3877911050 7755822100 23870034017 47740068034 95480136068 119350170085 238700340170 310310442221 477400680340 596750850425 620620884442 1193501700850 1241241768884 1551552211105 2387003401700 3103104422210 6206208844420 7757761055525 15515522111050 31031044222100