Search a number
-
+
10030332132 = 2232278620337
BaseRepresentation
bin10010101011101101…
…01011100011100100
3221220000211122222200
421111312223203210
5131020231112012
64335144454500
7503363262552
oct112566534344
927800748880
1010030332132
114287951a97
121b3b17a430
13c3b07a692
146b21babd2
153da8a03dc
hex255dab8e4

10030332132 has 18 divisors (see below), whose sum is σ = 25354450758. Its totient is φ = 3343444032.

The previous prime is 10030332107. The next prime is 10030332149. The reversal of 10030332132 is 23123303001.

10030332132 is a `hidden beast` number, since 10 + 0 + 303 + 321 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9924941376 + 105390756 = 99624^2 + 10266^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139310133 + ... + 139310204.

Almost surely, 210030332132 is an apocalyptic number.

10030332132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10030332132 is an abundant number, since it is smaller than the sum of its proper divisors (15324118626).

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

10030332132 is a wasteful number, since it uses less digits than its factorization.

10030332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278620347 (or 278620342 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10030332132 its reverse (23123303001), we get a palindrome (33153635133).

The spelling of 10030332132 in words is "ten billion, thirty million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 278620337 557240674 835861011 1114481348 1671722022 2507583033 3343444044 5015166066 10030332132