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131029950 = 23523723609
BaseRepresentation
bin1111100111101…
…01101110111110
3100010120000022010
413303311232332
5232020424300
621000232050
73150510342
oct763655676
9303500263
10131029950
1167a65817
1237a6b626
13211b951c
141358b622
15b783a50
hex7cf5bbe

131029950 has 48 divisors (see below), whose sum is σ = 333750960. Its totient is φ = 33995520.

The previous prime is 131029949. The next prime is 131029961. The reversal of 131029950 is 59920131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6255 + ... + 17354.

It is an arithmetic number, because the mean of its divisors is an integer number (6953145).

Almost surely, 2131029950 is an apocalyptic number.

131029950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131029950 is an abundant number, since it is smaller than the sum of its proper divisors (202721010).

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

131029950 is a wasteful number, since it uses less digits than its factorization.

131029950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23661 (or 23656 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 131029950 is about 11446.8314393111. The cubic root of 131029950 is about 507.9140093563.

The spelling of 131029950 in words is "one hundred thirty-one million, twenty-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1850 2775 5550 23609 47218 70827 118045 141654 236090 354135 590225 708270 873533 1180450 1747066 1770675 2620599 3541350 4367665 5241198 8735330 13102995 21838325 26205990 43676650 65514975 131029950