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131539302 = 237172961
BaseRepresentation
bin1111101011100…
…10000101100110
3100011111220000000
413311302011212
5232133224202
621015202130
73155031336
oct765620546
9304456000
10131539302
1168283474
1238076346
132133730b
14136810c6
15b83491c
hex7d72166

131539302 has 128 divisors (see below), whose sum is σ = 329443200. Its totient is φ = 39191040.

The previous prime is 131539301. The next prime is 131539307. The reversal of 131539302 is 203935131.

It is a happy number.

It is a super-3 number, since 3×1315393023 (a number of 25 digits) contains 333 as substring.

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 (131539301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2156352 + ... + 2156412.

It is an arithmetic number, because the mean of its divisors is an integer number (2573775).

Almost surely, 2131539302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131539302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164721600).

131539302 is an abundant number, since it is smaller than the sum of its proper divisors (197903898).

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

131539302 is an equidigital number, since it uses as much as digits as its factorization.

131539302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 131539302 is about 11469.0584617919. The cubic root of 131539302 is about 508.5712955089.

It can be divided in two parts, 131539 and 302, that added together give a triangular number (131841 = T513).

The spelling of 131539302 in words is "one hundred thirty-one million, five hundred thirty-nine thousand, three hundred two".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 61 81 87 102 122 153 162 174 183 243 261 306 366 459 486 493 522 549 729 783 918 986 1037 1098 1377 1458 1479 1566 1647 1769 2074 2187 2349 2754 2958 3111 3294 3538 4131 4374 4437 4698 4941 5307 6222 7047 8262 8874 9333 9882 10614 12393 13311 14094 14823 15921 18666 21141 24786 26622 27999 29646 30073 31842 37179 39933 42282 44469 47763 55998 60146 63423 74358 79866 83997 88938 90219 95526 119799 126846 133407 143289 167994 180438 239598 251991 266814 270657 286578 359397 429867 503982 541314 718794 755973 811971 859734 1078191 1289601 1511946 1623942 2156382 2267919 2435913 2579202 3868803 4535838 4871826 7307739 7737606 14615478 21923217 43846434 65769651 131539302