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131079222 = 2343143607
BaseRepresentation
bin1111101000000…
…01110000110110
3100010122111220000
413310001300312
5232024013342
621001252130
73151104111
oct764016066
9303574800
10131079222
1167a9983a
1237a94046
1321205a91
14135a1578
15b79344c
hex7d01c36

131079222 has 80 divisors (see below), whose sum is σ = 310751232. Its totient is φ = 41232240.

The previous prime is 131079187. The next prime is 131079227. The reversal of 131079222 is 222970131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131079227) 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 39 ways as a sum of consecutive naturals, for example, 215643 + ... + 216249.

Almost surely, 2131079222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131079222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155375616).

131079222 is an abundant number, since it is smaller than the sum of its proper divisors (179672010).

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

131079222 is a wasteful number, since it uses less digits than its factorization.

131079222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 686 counting only the distinct ones).

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

The square root of 131079222 is about 11448.9834483241. The cubic root of 131079222 is about 507.9776660568.

The spelling of 131079222 in words is "one hundred thirty-one million, seventy-nine thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 43 54 62 81 86 93 129 162 186 258 279 387 558 607 774 837 1161 1214 1333 1674 1821 2322 2511 2666 3483 3642 3999 5022 5463 6966 7998 10926 11997 16389 18817 23994 26101 32778 35991 37634 49167 52202 56451 71982 78303 98334 107973 112902 156606 169353 215946 234909 338706 469818 508059 704727 809131 1016118 1409454 1524177 1618262 2114181 2427393 3048354 4228362 4854786 7282179 14564358 21846537 43693074 65539611 131079222