Search a number
-
+
132570706900 = 22521325707069
BaseRepresentation
bin111101101110111010…
…1000111001111010100
3110200012002011200112111
41323131311013033110
54133001100110100
6140522510200404
712402140262442
oct1733565071724
9420162150474
10132570706900
115124a787295
12218397b3104
13c66965c488
1465b8a83b92
1536ad8a96ba
hex1eddd473d4

132570706900 has 18 divisors (see below), whose sum is σ = 287678434190. Its totient is φ = 53028282720.

The previous prime is 132570706861. The next prime is 132570706901. The reversal of 132570706900 is 9607075231.

It can be written as a sum of positive squares in 3 ways, for example, as 723287236 + 131847419664 = 26894^2 + 363108^2 .

It is a super-2 number, since 2×1325707069002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132570706901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 662853435 + ... + 662853634.

Almost surely, 2132570706900 is an apocalyptic number.

132570706900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132570706900 is an abundant number, since it is smaller than the sum of its proper divisors (155107727290).

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

132570706900 is a wasteful number, since it uses less digits than its factorization.

132570706900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325707083 (or 1325707076 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The spelling of 132570706900 in words is "one hundred thirty-two billion, five hundred seventy million, seven hundred six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1325707069 2651414138 5302828276 6628535345 13257070690 26514141380 33142676725 66285353450 132570706900