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12332130100 = 2252533975861
BaseRepresentation
bin10110111110000110…
…10101111100110100
31011211110002010012021
423133003111330310
5200224011130400
65355412202524
7614413243033
oct133703257464
934743063167
1012332130100
115259190964
122482009444
131216c02004
1484db9671a
154c29c971a
hex2df0d5f34

12332130100 has 72 divisors (see below), whose sum is σ = 27338984568. Its totient is φ = 4826764800.

The previous prime is 12332130091. The next prime is 12332130113. The reversal of 12332130100 is 103123321.

It can be written as a sum of positive squares in 12 ways, for example, as 1510721424 + 10821408676 = 38868^2 + 104026^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101170 + ... + 2107030.

It is an arithmetic number, because the mean of its divisors is an integer number (379708119).

Almost surely, 212332130100 is an apocalyptic number.

12332130100 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 12332130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669492284).

12332130100 is an abundant number, since it is smaller than the sum of its proper divisors (15006854468).

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

12332130100 is a wasteful number, since it uses less digits than its factorization.

12332130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12332130100 its reverse (103123321), we get a palindrome (12435253421).

The spelling of 12332130100 in words is "twelve billion, three hundred thirty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 397 530 794 1060 1325 1588 1985 2650 3970 5300 5861 7940 9925 11722 19850 21041 23444 29305 39700 42082 58610 84164 105205 117220 146525 210410 293050 310633 420820 526025 586100 621266 1052050 1242532 1553165 2104100 2326817 3106330 4653634 6212660 7765825 9307268 11634085 15531650 23268170 31063300 46536340 58170425 116340850 123321301 232681700 246642602 493285204 616606505 1233213010 2466426020 3083032525 6166065050 12332130100