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131108390 = 25737223227
BaseRepresentation
bin1111101000010…
…00111000100110
3100010200222220022
413310020320212
5232030432030
621002035142
73151255130
oct764107046
9303628808
10131108390
1168009746
1237aa8ab2
132121613a
14135ac050
15b79bde5
hex7d08e26

131108390 has 64 divisors (see below), whose sum is σ = 279465984. Its totient is φ = 43348608.

The previous prime is 131108359. The next prime is 131108423. The reversal of 131108390 is 93801131.

It is a Curzon number.

It is a congruent number.

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, 577457 + ... + 577683.

It is an arithmetic number, because the mean of its divisors is an integer number (4366656).

Almost surely, 2131108390 is an apocalyptic number.

131108390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131108390 is an abundant number, since it is smaller than the sum of its proper divisors (148357594).

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

131108390 is a wasteful number, since it uses less digits than its factorization.

131108390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 131108390 is about 11450.2572023514. The cubic root of 131108390 is about 508.0153419840.

The spelling of 131108390 in words is "one hundred thirty-one million, one hundred eight thousand, three hundred ninety".

Divisors: 1 2 5 7 10 14 35 37 70 74 185 223 227 259 370 446 454 518 1115 1135 1295 1561 1589 2230 2270 2590 3122 3178 7805 7945 8251 8399 15610 15890 16502 16798 41255 41995 50621 57757 58793 82510 83990 101242 115514 117586 253105 288785 293965 354347 506210 577570 587930 708694 1771735 1872977 3543470 3745954 9364885 13110839 18729770 26221678 65554195 131108390