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10132344312 = 2332635932707
BaseRepresentation
bin10010110111110111…
…10100110111111000
3222011010210102101120
421123323310313320
5131222340004222
64353231145240
7506042335266
oct113373646770
928133712346
1010132344312
11432a498282
121b69375220
13c5624700c
146c1973436
153e480115c
hex25bef4df8

10132344312 has 64 divisors (see below), whose sum is σ = 25479463680. Its totient is φ = 3357691392.

The previous prime is 10132344311. The next prime is 10132344323. The reversal of 10132344312 is 21344323101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132344311) 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, 3741663 + ... + 3744369.

It is an arithmetic number, because the mean of its divisors is an integer number (398116620).

Almost surely, 210132344312 is an apocalyptic number.

10132344312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10132344312 is an abundant number, since it is smaller than the sum of its proper divisors (15347119368).

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

10132344312 is a wasteful number, since it uses less digits than its factorization.

10132344312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10132344312 its reverse (21344323101), we get a palindrome (31476667413).

The spelling of 10132344312 in words is "ten billion, one hundred thirty-two million, three hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 263 526 593 789 1052 1186 1578 1779 2104 2372 2707 3156 3558 4744 5414 6312 7116 8121 10828 14232 16242 21656 32484 64968 155959 311918 467877 623836 711941 935754 1247672 1423882 1605251 1871508 2135823 2847764 3210502 3743016 4271646 4815753 5695528 6421004 8543292 9631506 12842008 17086584 19263012 38526024 422181013 844362026 1266543039 1688724052 2533086078 3377448104 5066172156 10132344312