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10132410120 = 2335729831753
BaseRepresentation
bin10010110111111000…
…00100111100001000
3222011010220202122220
421123330010330020
5131222344110440
64353232414040
7506043031200
oct113374047410
928133822586
1010132410120
11432a532768
121b693a7320
13c5626ac61
146c198d400
153e48158d0
hex25bf04f08

10132410120 has 192 divisors, whose sum is σ = 35416206720. Its totient is φ = 2312303616.

The previous prime is 10132410107. The next prime is 10132410131. The reversal of 10132410120 is 2101423101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10132410120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5779164 + ... + 5780916.

It is an arithmetic number, because the mean of its divisors is an integer number (184459410).

Almost surely, 210132410120 is an apocalyptic number.

10132410120 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 10132410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708103360).

10132410120 is an abundant number, since it is smaller than the sum of its proper divisors (25283796600).

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

10132410120 is a wasteful number, since it uses less digits than its factorization.

10132410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10132410120 its reverse (2101423101), we get a palindrome (12233833221).

The spelling of 10132410120 in words is "ten billion, one hundred thirty-two million, four hundred ten thousand, one hundred twenty".