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131100970 = 257211131871
BaseRepresentation
bin1111101000001…
…11000100101010
3100010200121201111
413310013010222
5232030212340
621001540534
73151224400
oct764070452
9303617644
10131100970
1168004110
1237aa474a
1321212950
14135a9470
15b799aea
hex7d0712a

131100970 has 96 divisors (see below), whose sum is σ = 322672896. Its totient is φ = 37699200.

The previous prime is 131100947. The next prime is 131100997. The reversal of 131100970 is 79001131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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, 69135 + ... + 71005.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2131100970 is an apocalyptic number.

131100970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131100970 is an abundant number, since it is smaller than the sum of its proper divisors (191571926).

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

131100970 is a wasteful number, since it uses less digits than its factorization.

131100970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 22.

The square root of 131100970 is about 11449.9331875780. The cubic root of 131100970 is about 508.0057581962.

It can be divided in two parts, 131 and 100970, that added together give a palindrome (101101).

The spelling of 131100970 in words is "one hundred thirty-one million, one hundred thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 49 55 65 70 77 91 98 110 130 143 154 182 245 286 385 455 490 539 637 715 770 910 1001 1078 1274 1430 1871 2002 2695 3185 3742 5005 5390 6370 7007 9355 10010 13097 14014 18710 20581 24323 26194 35035 41162 48646 65485 70070 91679 102905 121615 130970 144067 170261 183358 205810 243230 267553 288134 340522 458395 535106 720335 851305 916790 1008469 1191827 1337765 1440670 1702610 1872871 2016938 2383654 2675530 3745742 5042345 5959135 9364355 10084690 11918270 13110097 18728710 26220194 65550485 131100970