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131125590 = 23251785703
BaseRepresentation
bin1111101000011…
…01000101010110
3100010201212111100
413310031011112
5232032004330
621002250530
73151356231
oct764150526
9303655440
10131125590
1168020662
1237ab6a46
1321220c0b
14135b4418
15b7a2060
hex7d0d156

131125590 has 48 divisors (see below), whose sum is σ = 360985248. Its totient is φ = 32909568.

The previous prime is 131125571. The next prime is 131125591. The reversal of 131125590 is 95521131.

131125590 = 13552 + 13562 + ... + 14222.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131125591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41322 + ... + 44381.

It is an arithmetic number, because the mean of its divisors is an integer number (7520526).

Almost surely, 2131125590 is an apocalyptic number.

131125590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131125590 is an abundant number, since it is smaller than the sum of its proper divisors (229859658).

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

131125590 is a wasteful number, since it uses less digits than its factorization.

131125590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85733 (or 85730 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 131125590 is about 11451.0082525514. The cubic root of 131125590 is about 508.0375563818.

The spelling of 131125590 in words is "one hundred thirty-one million, one hundred twenty-five thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 85703 171406 257109 428515 514218 771327 857030 1285545 1456951 1542654 2571090 2913902 3856635 4370853 7284755 7713270 8741706 13112559 14569510 21854265 26225118 43708530 65562795 131125590