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131216670 = 23251328627
BaseRepresentation
bin1111101001000…
…11010100011110
3100010220111102200
413310203110132
5232042413140
621004232330
73152215614
oct764432436
9303814380
10131216670
1168083032
1237b3b6a6
1321253500
14135d96b4
15b7be030
hex7d2351e

131216670 has 72 divisors (see below), whose sum is σ = 369468216. Its totient is φ = 32295744.

The previous prime is 131216639. The next prime is 131216699. The reversal of 131216670 is 76612131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10897 + ... + 19523.

It is an arithmetic number, because the mean of its divisors is an integer number (5131503).

Almost surely, 2131216670 is an apocalyptic number.

131216670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131216670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184734108).

131216670 is an abundant number, since it is smaller than the sum of its proper divisors (238251546).

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

131216670 is a wasteful number, since it uses less digits than its factorization.

131216670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8666 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 131216670 is about 11454.9845045727. The cubic root of 131216670 is about 508.1551569998.

It can be divided in two parts, 13121 and 6670, that added together give a palindrome (19791).

The spelling of 131216670 in words is "one hundred thirty-one million, two hundred sixteen thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 8627 15210 17254 25881 43135 51762 77643 86270 112151 129405 155286 224302 258810 336453 388215 560755 672906 776430 1009359 1121510 1457963 1682265 2018718 2915926 3364530 4373889 5046795 7289815 8747778 10093590 13121667 14579630 21869445 26243334 43738890 65608335 131216670