Search a number
-
+
31223121332 = 221317892291733
BaseRepresentation
bin11101000101000010…
…110000010110110100
32222120222210220102012
4131011002300112310
51002421104340312
622202123503352
72153511103154
oct350502602664
988528726365
1031223121332
1112272702207
126074687b58
132c378c3630
141722a76764
15c2b1d0322
hex7450b05b4

31223121332 has 96 divisors (see below), whose sum is σ = 63316663200. Its totient is φ = 13344325632.

The previous prime is 31223121313. The next prime is 31223121337. The reversal of 31223121332 is 23312132213.

It can be written as a sum of positive squares in 16 ways, for example, as 4167477136 + 27055644196 = 64556^2 + 164486^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31223121298 and 31223121307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31223121337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18015938 + ... + 18017670.

It is an arithmetic number, because the mean of its divisors is an integer number (659548575).

Almost surely, 231223121332 is an apocalyptic number.

It is an amenable number.

31223121332 is an abundant number, since it is smaller than the sum of its proper divisors (32093541868).

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

31223121332 is a wasteful number, since it uses less digits than its factorization.

31223121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2083 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

Adding to 31223121332 its reverse (23312132213), we get a palindrome (54535253545).

The spelling of 31223121332 in words is "thirty-one billion, two hundred twenty-three million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 13 17 26 34 52 68 89 178 221 229 356 442 458 884 916 1157 1513 1733 2314 2977 3026 3466 3893 4628 5954 6052 6932 7786 11908 15572 19669 20381 22529 29461 39338 40762 45058 50609 58922 78676 81524 90116 101218 117844 154237 202436 264953 308474 346477 382993 396857 529906 616948 692954 765986 793714 1059812 1385908 1531972 1587428 2005081 2622029 4010162 4504201 5159141 5244058 6746569 8020324 9008402 10318282 10488116 13493138 18016804 20636564 26986276 34086377 35320273 68172754 70640546 87705397 136345508 141281092 175410794 350821588 459163549 600444641 918327098 1200889282 1836654196 2401778564 7805780333 15611560666 31223121332