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131097285 = 3551117577
BaseRepresentation
bin1111101000001…
…10001011000101
3100010200102200000
413310012023011
5232030103120
621001511513
73151210554
oct764061305
9303612600
10131097285
1168001370
1237aa2599
1321211077
14135a7d9b
15b798990
hex7d062c5

131097285 has 96 divisors (see below), whose sum is σ = 272668032. Its totient is φ = 59719680.

The previous prime is 131097271. The next prime is 131097287. The reversal of 131097285 is 582790131.

It is not a de Polignac number, because 131097285 - 26 = 131097221 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131097287) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 226917 + ... + 227493.

It is an arithmetic number, because the mean of its divisors is an integer number (2840292).

Almost surely, 2131097285 is an apocalyptic number.

131097285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131097285 is an abundant number, since it is smaller than the sum of its proper divisors (141570747).

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

131097285 is a wasteful number, since it uses less digits than its factorization.

131097285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 131097285 is about 11449.7722684777. The cubic root of 131097285 is about 508.0009984584. Note that the first 3 decimals are identical.

The spelling of 131097285 in words is "one hundred thirty-one million, ninety-seven thousand, two hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 135 153 165 187 243 255 297 405 459 495 561 577 765 891 935 1215 1377 1485 1683 1731 2295 2673 2805 2885 4131 4455 5049 5193 6347 6885 8415 8655 9809 13365 15147 15579 19041 20655 25245 25965 29427 31735 45441 46737 49045 57123 75735 77895 88281 95205 107899 140211 147135 171369 227205 233685 264843 285615 323697 441405 514107 539495 701055 794529 856845 971091 1324215 1542321 1618485 2383587 2570535 2913273 3972645 4855455 7711605 8739819 11917935 14566365 26219457 43699095 131097285