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131133088 = 2541127787
BaseRepresentation
bin1111101000011…
…10111010100000
3100010202020210001
413310032322200
5232032224323
621002345344
73151420132
oct764167240
9303666701
10131133088
1168026259
1237abb254
1321224458
14135b7052
15b7a43ad
hex7d0eea0

131133088 has 48 divisors (see below), whose sum is σ = 266886144. Its totient is φ = 63383040.

The previous prime is 131133083. The next prime is 131133089. The reversal of 131133088 is 880331131.

It is not an unprimeable number, because it can be changed into a prime (131133083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166231 + ... + 167017.

It is an arithmetic number, because the mean of its divisors is an integer number (5560128).

Almost surely, 2131133088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131133088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133443072).

131133088 is an abundant number, since it is smaller than the sum of its proper divisors (135753056).

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

131133088 is a wasteful number, since it uses less digits than its factorization.

131133088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 131133088 is about 11451.3356426227. The cubic root of 131133088 is about 508.0472397015.

The spelling of 131133088 in words is "one hundred thirty-one million, one hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 41 82 127 164 254 328 508 656 787 1016 1312 1574 2032 3148 4064 5207 6296 10414 12592 20828 25184 32267 41656 64534 83312 99949 129068 166624 199898 258136 399796 516272 799592 1032544 1599184 3198368 4097909 8195818 16391636 32783272 65566544 131133088