Search a number
-
+
131129075 = 52711174007
BaseRepresentation
bin1111101000011…
…01111011110011
3100010202001021102
413310031323303
5232032112300
621002315015
73151402340
oct764157363
9303661242
10131129075
1168023240
1237ab8a6b
132122268c
14135b57c7
15b7a30d5
hex7d0def3

131129075 has 48 divisors (see below), whose sum is σ = 214700544. Its totient is φ = 76915200.

The previous prime is 131129057. The next prime is 131129083. The reversal of 131129075 is 570921131.

It is a de Polignac number, because none of the positive numbers 2k-131129075 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30722 + ... + 34728.

It is an arithmetic number, because the mean of its divisors is an integer number (4472928).

Almost surely, 2131129075 is an apocalyptic number.

131129075 is the 9350-th pentagonal number.

131129075 is a deficient number, since it is larger than the sum of its proper divisors (83571469).

131129075 is a wasteful number, since it uses less digits than its factorization.

131129075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 131129075 is about 11451.1604215468. The cubic root of 131129075 is about 508.0420571438.

The spelling of 131129075 in words is "one hundred thirty-one million, one hundred twenty-nine thousand, seventy-five".

Divisors: 1 5 7 11 17 25 35 55 77 85 119 175 187 275 385 425 595 935 1309 1925 2975 4007 4675 6545 20035 28049 32725 44077 68119 100175 140245 220385 308539 340595 476833 701225 749309 1101925 1542695 1702975 2384165 3746545 5245163 7713475 11920825 18732725 26225815 131129075