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131030009472 = 27317191915531
BaseRepresentation
bin111101000000111111…
…1110100011010000000
3110112012201002010222210
41322001333310122000
54121322140300342
6140105551502120
712316021463265
oct1720177643200
9415181063883
10131030009472
115062a02a52a
1221489827940
13c4823bb0ab
1464b01c926c
15361d4c179c
hex1e81ff4680

131030009472 has 256 divisors, whose sum is σ = 390019276800. Its totient is φ = 38733004800.

The previous prime is 131030009447. The next prime is 131030009497. The reversal of 131030009472 is 274900030131.

131030009472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131030009447) and next prime (131030009497).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23687347 + ... + 23692877.

It is an arithmetic number, because the mean of its divisors is an integer number (1523512800).

Almost surely, 2131030009472 is an apocalyptic number.

131030009472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131030009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195009638400).

131030009472 is an abundant number, since it is smaller than the sum of its proper divisors (258989267328).

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

131030009472 is a wasteful number, since it uses less digits than its factorization.

131030009472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 131030009472 in words is "one hundred thirty-one billion, thirty million, nine thousand, four hundred seventy-two".