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31220012232 = 23321017335857
BaseRepresentation
bin11101000100110110…
…111001010011001000
32222120202221221112100
4131010312321103020
51002414310342412
622201533113400
72153442503553
oct350466712310
988522857470
1031220012232
1112270979302
126073628860
132c37075426
1417224a769a
15c2acb8edc
hex744db94c8

31220012232 has 96 divisors (see below), whose sum is σ = 85522465080. Its totient is φ = 10287820800.

The previous prime is 31220012141. The next prime is 31220012249. The reversal of 31220012232 is 23221002213.

31220012232 is a `hidden beast` number, since 312 + 200 + 122 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24203269476 + 7016742756 = 155574^2 + 83766^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5327448 + ... + 5333304.

Almost surely, 231220012232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31220012232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42761232540).

31220012232 is an abundant number, since it is smaller than the sum of its proper divisors (54302452848).

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

31220012232 is a wasteful number, since it uses less digits than its factorization.

31220012232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31220012232 its reverse (23221002213), we get a palindrome (54441014445).

The spelling of 31220012232 in words is "thirty-one billion, two hundred twenty million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 733 808 909 1212 1466 1818 2199 2424 2932 3636 4398 5857 5864 6597 7272 8796 11714 13194 17571 17592 23428 26388 35142 46856 52713 52776 70284 74033 105426 140568 148066 210852 222099 296132 421704 444198 591557 592264 666297 888396 1183114 1332594 1774671 1776792 2366228 2665188 3549342 4293181 4732456 5324013 5330376 7098684 8586362 10648026 12879543 14197368 17172724 21296052 25759086 34345448 38638629 42592104 51518172 77277258 103036344 154554516 309109032 433611281 867222562 1300833843 1734445124 2601667686 3468890248 3902501529 5203335372 7805003058 10406670744 15610006116 31220012232