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31331201122221 = 37111329533533119
BaseRepresentation
bin1110001111110110111010…
…00111001111111110101101
311002221020022021110110000120
413013323131013033332231
513101312244441402341
6150345204411115153
76412414241260530
oct707733507177655
9132836267413016
1031331201122221
119a8a54025a170
123620243a42ab9
13146369a6c6990
147a461c6c2a17
15394ee2ed6066
hex1c7edd1cffad

31331201122221 has 64 divisors (see below), whose sum is σ = 56108432916480. Its totient is φ = 15018860643840.

The previous prime is 31331201122183. The next prime is 31331201122241. The reversal of 31331201122221 is 12222110213313.

It is not a de Polignac number, because 31331201122221 - 211 = 31331201120173 is a prime.

It is a super-2 number, since 2×313312011222212 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31331201122191 and 31331201122200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331201122241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7101300 + ... + 10634418.

It is an arithmetic number, because the mean of its divisors is an integer number (876694264320).

Almost surely, 231331201122221 is an apocalyptic number.

It is an amenable number.

31331201122221 is a deficient number, since it is larger than the sum of its proper divisors (24777231794259).

31331201122221 is a wasteful number, since it uses less digits than its factorization.

31331201122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536106.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 31331201122221 its reverse (12222110213313), we get a palindrome (43553311335534).

The spelling of 31331201122221 in words is "thirty-one trillion, three hundred thirty-one billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 2953 3003 8859 20671 32483 38389 62013 97449 115167 227381 268723 422279 682143 806169 1266837 2955953 3533119 8867859 10599357 24731833 38864309 45930547 74195499 116592927 137791641 272050163 321513829 505236017 816150489 964541487 1515708051 3536652119 10433300407 10609956357 31299901221 73033102849 114766304477 135632905291 219099308547 344298913431 406898715873 803364131339 949430337037 1491961958201 2410092394017 2848291011111 4475885874603 10443733707407 31331201122221