Search a number
-
+
101572132104 = 23321410724057
BaseRepresentation
bin101111010011000101…
…0111011110100001000
3100201011201212221001200
41132212022323310020
53131004431211404
6114354523144200
710224023610012
oct1364612736410
9321151787050
10101572132104
113a092903233
1217828375060
139769438b21
144cb7b7d1b2
152997281839
hex17a62bbd08

101572132104 has 24 divisors (see below), whose sum is σ = 275091191310. Its totient is φ = 33857377344.

The previous prime is 101572132043. The next prime is 101572132127. The reversal of 101572132104 is 401231275101.

It can be written as a sum of positive squares in only one way, i.e., 54148359204 + 47423772900 = 232698^2 + 217770^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 705361957 + ... + 705362100.

Almost surely, 2101572132104 is an apocalyptic number.

It is an amenable number.

101572132104 is an abundant number, since it is smaller than the sum of its proper divisors (173519059206).

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

101572132104 is a wasteful number, since it uses less digits than its factorization.

101572132104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410724069 (or 1410724062 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 101572132104 in words is "one hundred one billion, five hundred seventy-two million, one hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1410724057 2821448114 4232172171 5642896228 8464344342 11285792456 12696516513 16928688684 25393033026 33857377368 50786066052 101572132104