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10113101232 = 24313314311213
BaseRepresentation
bin10010110101100100…
…11010110110110000
3222002210120202211220
421122302122312300
5131202423214412
64351302505040
7505416641103
oct113262326660
928083522756
1010113101232
11431a644703
121b62a35180
13c5226a290
146bd1a473a
153e2c9e68c
hex25ac9adb0

10113101232 has 160 divisors (see below), whose sum is σ = 29134135296. Its totient is φ = 3001881600.

The previous prime is 10113101231. The next prime is 10113101347. The reversal of 10113101232 is 23210131101.

It is a happy number.

10113101232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10113101231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8336658 + ... + 8337870.

Almost surely, 210113101232 is an apocalyptic number.

10113101232 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 10113101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14567067648).

10113101232 is an abundant number, since it is smaller than the sum of its proper divisors (19021034064).

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

10113101232 is a wasteful number, since it uses less digits than its factorization.

10113101232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1693 counting only the distinct ones).

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

Adding to 10113101232 its reverse (23210131101), we get a palindrome (33323232333).

The spelling of 10113101232 in words is "ten billion, one hundred thirteen million, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 431 496 624 744 806 862 1209 1213 1293 1488 1612 1724 2418 2426 2586 3224 3448 3639 4836 4852 5172 5603 6448 6896 7278 9672 9704 10344 11206 13361 14556 15769 16809 19344 19408 20688 22412 26722 29112 31538 33618 37603 40083 44824 47307 53444 58224 63076 67236 75206 80166 89648 94614 106888 112809 126152 134472 150412 160332 173693 189228 213776 225618 252304 268944 300824 320664 347386 378456 451236 488839 521079 522803 601648 641328 694772 756912 902472 977678 1042158 1045606 1389544 1466517 1568409 1804944 1955356 2084316 2091212 2779088 2933034 3136818 3910712 4168632 4182424 5866068 6273636 6796439 7821424 8337264 8364848 11732136 12547272 13592878 16206893 20389317 23464272 25094544 27185756 32413786 40778634 48620679 54371512 64827572 81557268 97241358 108743024 129655144 163114536 194482716 210689609 259310288 326229072 388965432 421379218 632068827 777930864 842758436 1264137654 1685516872 2528275308 3371033744 5056550616 10113101232