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131081730 = 235131721163
BaseRepresentation
bin1111101000000…
…10011000000010
3100010122122022220
413310002120002
5232024103410
621001311510
73151114323
oct764023002
9303578286
10131081730
1167aa070a
1237a95596
1321206c70
14135a244a
15b794070
hex7d02602

131081730 has 96 divisors (see below), whose sum is σ = 360206784. Its totient is φ = 30342144.

The previous prime is 131081729. The next prime is 131081749. The reversal of 131081730 is 37180131.

It is a self number, because there is not a number n which added to its sum of digits gives 131081730.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112129 + ... + 113291.

It is an arithmetic number, because the mean of its divisors is an integer number (3752154).

Almost surely, 2131081730 is an apocalyptic number.

131081730 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 131081730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180103392).

131081730 is an abundant number, since it is smaller than the sum of its proper divisors (229125054).

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

131081730 is a wasteful number, since it uses less digits than its factorization.

131081730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 131081730 is about 11449.0929771751. The cubic root of 131081730 is about 507.9809058275.

The spelling of 131081730 in words is "one hundred thirty-one million, eighty-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 289 390 442 510 578 663 867 1105 1163 1326 1445 1734 2210 2326 2890 3315 3489 3757 4335 5815 6630 6978 7514 8670 11271 11630 15119 17445 18785 19771 22542 30238 34890 37570 39542 45357 56355 59313 75595 90714 98855 112710 118626 151190 197710 226785 257023 296565 336107 453570 514046 593130 672214 771069 1008321 1285115 1542138 1680535 2016642 2570230 3361070 3855345 4369391 5041605 7710690 8738782 10083210 13108173 21846955 26216346 43693910 65540865 131081730