Search a number
-
+
31212968580 = 223251928132479
BaseRepresentation
bin11101000100011100…
…000001101010000100
32222120021201002110100
4131010130001222010
51002411004443310
622201122124100
72153325566253
oct350434015204
988507632410
1031212968580
11122679a8302
1260711b0630
132c3577a3a1
14172159279a
15c2a376ec0
hex744701a84

31212968580 has 144 divisors (see below), whose sum is σ = 100020211200. Its totient is φ = 7857077760.

The previous prime is 31212968533. The next prime is 31212968581. The reversal of 31212968580 is 8586921213.

31212968580 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 2 + 9 + 68 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31212968581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944781 + ... + 977259.

It is an arithmetic number, because the mean of its divisors is an integer number (694584800).

Almost surely, 231212968580 is an apocalyptic number.

31212968580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31212968580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50010105600).

31212968580 is an abundant number, since it is smaller than the sum of its proper divisors (68807242620).

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

31212968580 is a wasteful number, since it uses less digits than its factorization.

31212968580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32794 (or 32789 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 31212968580 in words is "thirty-one billion, two hundred twelve million, nine hundred sixty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 281 285 342 380 562 570 684 843 855 1124 1140 1405 1686 1710 2529 2810 3372 3420 4215 5058 5339 5620 8430 10116 10678 12645 16017 16860 21356 25290 26695 32034 32479 48051 50580 53390 64068 64958 80085 96102 97437 106780 129916 160170 162395 192204 194874 240255 292311 320340 324790 389748 480510 487185 584622 617101 649580 961020 974370 1169244 1234202 1461555 1851303 1948740 2468404 2923110 3085505 3702606 5553909 5846220 6171010 7405212 9126599 9256515 11107818 12342020 18253198 18513030 22215636 27379797 27769545 36506396 37026060 45632995 54759594 55539090 82139391 91265990 109519188 111078180 136898985 164278782 173405381 182531980 273797970 328557564 346810762 410696955 520216143 547595940 693621524 821393910 867026905 1040432286 1560648429 1642787820 1734053810 2080864572 2601080715 3121296858 3468107620 5202161430 6242593716 7803242145 10404322860 15606484290 31212968580