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131275020 = 223517179719
BaseRepresentation
bin1111101001100…
…01100100001100
3100011000110110210
413310301210030
5232101300040
621005402420
73152551002
oct764614414
9304013423
10131275020
1168112958
1237b69410
1321273c36
1413612a72
15b7d1480
hex7d3190c

131275020 has 96 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 32717824.

The previous prime is 131275019. The next prime is 131275033. The reversal of 131275020 is 20572131.

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 31 ways as a sum of consecutive naturals, for example, 182221 + ... + 182939.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2131275020 is an apocalyptic number.

131275020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131275020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

131275020 is an abundant number, since it is smaller than the sum of its proper divisors (260635380).

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

131275020 is a wasteful number, since it uses less digits than its factorization.

131275020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 131275020 is about 11457.5311476775. The cubic root of 131275020 is about 508.2304687199.

The spelling of 131275020 in words is "one hundred thirty-one million, two hundred seventy-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 179 204 255 340 358 510 537 716 719 895 1020 1074 1438 1790 2148 2157 2685 2876 3043 3580 3595 4314 5370 6086 7190 8628 9129 10740 10785 12172 12223 14380 15215 18258 21570 24446 30430 36516 36669 43140 45645 48892 60860 61115 73338 91290 122230 128701 146676 182580 183345 244460 257402 366690 386103 514804 643505 733380 772206 1287010 1544412 1930515 2187917 2574020 3861030 4375834 6563751 7722060 8751668 10939585 13127502 21879170 26255004 32818755 43758340 65637510 131275020