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31013111022021 = 32192943293496381
BaseRepresentation
bin1110000110100110011010…
…11101110100000111000101
311001210211021000211010000100
413003103031131310013011
513031104322410201041
6145543120532234313
76350423542112232
oct703231535640705
9131724230733010
1031013111022021
11997764a730937
12358a67016b999
13143c6a6aac08b
14793084bbc789
1538bac75c26b6
hex1c34cd7741c5

31013111022021 has 96 divisors (see below), whose sum is σ = 50085340905600. Its totient is φ = 18408915463680.

The previous prime is 31013111022011. The next prime is 31013111022053. The reversal of 31013111022021 is 12022011131013.

31013111022021 is a `hidden beast` number, since 3 + 101 + 311 + 10 + 220 + 21 = 666.

It is not a de Polignac number, because 31013111022021 - 221 = 31013108924869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31013111021985 and 31013111022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013111022011) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 62230251 + ... + 62726631.

It is an arithmetic number, because the mean of its divisors is an integer number (521722301100).

Almost surely, 231013111022021 is an apocalyptic number.

It is an amenable number.

31013111022021 is a deficient number, since it is larger than the sum of its proper divisors (19072229883579).

31013111022021 is a wasteful number, since it uses less digits than its factorization.

31013111022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496771 (or 496768 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 31013111022021 its reverse (12022011131013), we get a palindrome (43035122153034).

The spelling of 31013111022021 in words is "thirty-one trillion, thirteen billion, one hundred eleven million, twenty-two thousand, twenty-one".

Divisors: 1 3 9 19 29 43 57 87 129 171 261 293 387 551 817 879 1247 1653 2451 2637 3741 4959 5567 7353 8497 11223 12599 16701 23693 25491 37797 50103 71079 76473 113391 161443 213237 239381 365371 484329 496381 718143 1096113 1452987 1489143 2154429 3288339 4467429 6942049 9431239 14395049 20826147 21344383 28293717 43185147 62478441 64033149 84881151 129555441 145439633 192099447 273505931 405543277 436318899 618987107 820517793 1216629831 1308956697 1856961321 2461553379 2763353027 3649889493 4217749357 5570883963 6253904219 8290059081 11760755033 12653248071 18761712657 24870177243 35282265099 37959744213 56285137971 80137237783 105846795297 118824180161 181363222351 240411713349 356472540483 544089667053 721235140047 1069417621449 1632269001159 3445901224669 10337703674007 31013111022021