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10132110132 = 2232935981101
BaseRepresentation
bin10010110111110101…
…11011101100110100
3222011010100112011020
421123322323230310
5131222310011012
64353222141140
7506040341454
oct113372735464
928133315136
1010132110132
11432a348341
121b692817b0
13c56194551
146c1911d64
153e47a6a8c
hex25bebbb34

10132110132 has 48 divisors (see below), whose sum is σ = 24525244800. Its totient is φ = 3251785600.

The previous prime is 10132110119. The next prime is 10132110139. The reversal of 10132110132 is 23101123101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132110139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84382 + ... + 165482.

It is an arithmetic number, because the mean of its divisors is an integer number (510942600).

Almost surely, 210132110132 is an apocalyptic number.

10132110132 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 10132110132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12262622400).

10132110132 is an abundant number, since it is smaller than the sum of its proper divisors (14393134668).

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

10132110132 is a wasteful number, since it uses less digits than its factorization.

10132110132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81496 (or 81494 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10132110132 its reverse (23101123101), we get a palindrome (33233233233).

The spelling of 10132110132 in words is "ten billion, one hundred thirty-two million, one hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 359 718 1077 1436 2154 4308 10411 20822 31233 41644 62466 81101 124932 162202 243303 324404 486606 973212 2351929 4703858 7055787 9407716 14111574 28223148 29115259 58230518 87345777 116461036 174691554 349383108 844342511 1688685022 2533027533 3377370044 5066055066 10132110132