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10131331232 = 251167342767
BaseRepresentation
bin10010110111101111…
…11101100010100000
3222011001212221201002
421123313331202200
5131222110044412
64353153331132
7506030615561
oct113367754240
928131787632
1010131331232
114329966120
121b68b66aa8
13c55c80b69
146c178c168
153e46a0dc2
hex25bdfd8a0

10131331232 has 48 divisors (see below), whose sum is σ = 21792177792. Its totient is φ = 4598200320.

The previous prime is 10131331213. The next prime is 10131331267. The reversal of 10131331232 is 23213313101.

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 7 ways as a sum of consecutive naturals, for example, 215513 + ... + 258279.

It is an arithmetic number, because the mean of its divisors is an integer number (454003704).

Almost surely, 210131331232 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 10131331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10896088896).

10131331232 is an abundant number, since it is smaller than the sum of its proper divisors (11660846560).

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

10131331232 is a wasteful number, since it uses less digits than its factorization.

10131331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43461 (or 43453 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10131331232 its reverse (23213313101), we get a palindrome (33344644333).

The spelling of 10131331232 in words is "ten billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 673 1346 2692 5384 7403 10768 14806 21536 29612 42767 59224 85534 118448 171068 236896 342136 470437 684272 940874 1368544 1881748 3763496 7526992 15053984 28782191 57564382 115128764 230257528 316604101 460515056 633208202 921030112 1266416404 2532832808 5065665616 10131331232