Search a number
-
+
10131310332 = 223311134611423
BaseRepresentation
bin10010110111101111…
…11000011011111100
3222011001211220001000
421123313320123330
5131222103412312
64353153050300
7506030500623
oct113367703374
928131756030
1010131310332
114329951450
121b68b56990
13c55c744b0
146c17846ba
153e4699adc
hex25bdf86fc

10131310332 has 192 divisors, whose sum is σ = 30947051520. Its totient is φ = 2825798400.

The previous prime is 10131310223. The next prime is 10131310333. The reversal of 10131310332 is 23301313101.

It is a happy number.

10131310332 is a `hidden beast` number, since 10 + 1 + 313 + 10 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131310333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7118973 + ... + 7120395.

It is an arithmetic number, because the mean of its divisors is an integer number (161182560).

Almost surely, 210131310332 is an apocalyptic number.

10131310332 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 10131310332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15473525760).

10131310332 is an abundant number, since it is smaller than the sum of its proper divisors (20815741188).

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

10131310332 is a wasteful number, since it uses less digits than its factorization.

10131310332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10131310332 its reverse (23301313101), we get a palindrome (33432623433).

The spelling of 10131310332 in words is "ten billion, one hundred thirty-one million, three hundred ten thousand, three hundred thirty-two".