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10131333120 = 2133359161
BaseRepresentation
bin10010110111101111…
…11110000000000000
3222011001220001022000
421123313332000000
5131222110124440
64353153344000
7506030624226
oct113367760000
928131801260
1010131333120
114329967587
121b68b68000
13c55c8198c
146c178cb16
153e46a1730
hex25bdfe000

10131333120 has 224 divisors, whose sum is σ = 36024251040. Its totient is φ = 2701393920.

The previous prime is 10131333061. The next prime is 10131333133. The reversal of 10131333120 is 2133313101.

It is a happy number.

10131333120 is a `hidden beast` number, since 1 + 0 + 1 + 313 + 331 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10131333093 and 10131333102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101340 + ... + 1110500.

Almost surely, 210131333120 is an apocalyptic number.

10131333120 is a gapful number since it is divisible by the number (10) 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 10131333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012125520).

10131333120 is an abundant number, since it is smaller than the sum of its proper divisors (25892917920).

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

10131333120 is an frugal number, since it uses more digits than its factorization.

10131333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9201 (or 9171 counting only the distinct ones).

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

Adding to 10131333120 its reverse (2133313101), we get a palindrome (12264646221).

The spelling of 10131333120 in words is "ten billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred twenty".