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131151630 = 235291271187
BaseRepresentation
bin1111101000100…
…11011100001110
3100010210012012210
413310103130032
5232033323010
621003011250
73151525161
oct764233416
9303705183
10131151630
1168039185
1237b09b26
132122ca1c
14135bdad8
15b7a9b20
hex7d1370e

131151630 has 64 divisors (see below), whose sum is σ = 328458240. Its totient is φ = 33473664.

The previous prime is 131151619. The next prime is 131151653. The reversal of 131151630 is 36151131.

It is a junction number, because it is equal to n+sod(n) for n = 131151597 and 131151606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109897 + ... + 111083.

It is an arithmetic number, because the mean of its divisors is an integer number (5132160).

Almost surely, 2131151630 is an apocalyptic number.

131151630 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 131151630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164229120).

131151630 is an abundant number, since it is smaller than the sum of its proper divisors (197306610).

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

131151630 is a wasteful number, since it uses less digits than its factorization.

131151630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 131151630 is about 11452.1452138890. The cubic root of 131151630 is about 508.0711842505.

The spelling of 131151630 in words is "one hundred thirty-one million, one hundred fifty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 127 145 174 254 290 381 435 635 762 870 1187 1270 1905 2374 3561 3683 3810 5935 7122 7366 11049 11870 17805 18415 22098 34423 35610 36830 55245 68846 103269 110490 150749 172115 206538 301498 344230 452247 516345 753745 904494 1032690 1507490 2261235 4371721 4522470 8743442 13115163 21858605 26230326 43717210 65575815 131151630