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100432312132420 = 225291195131448873
BaseRepresentation
bin10110110101011110111000…
…010010011110001101000100
3111011121020100111212022001201
4112311132320102132031010
5101130440333401214140
6553333544532032244
730103665214504042
oct2665367022361504
9434536314768051
10100432312132420
112a001116a2a944
12b320556162684
134406959b7b868
141ab2d42529392
15b9271ccad49a
hex5b57b849e344

100432312132420 has 48 divisors (see below), whose sum is σ = 218182516317360. Its totient is φ = 38787300263936.

The previous prime is 100432312132351. The next prime is 100432312132447. The reversal of 100432312132420 is 24231213234001.

It can be written as a sum of positive squares in 8 ways, for example, as 58844086084 + 100373468046336 = 242578^2 + 10018656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68593104 + ... + 70041976.

It is an arithmetic number, because the mean of its divisors is an integer number (4545469089945).

Almost surely, 2100432312132420 is an apocalyptic number.

100432312132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100432312132420 is an abundant number, since it is smaller than the sum of its proper divisors (117750204184940).

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

100432312132420 is a wasteful number, since it uses less digits than its factorization.

100432312132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568424 (or 1568422 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 100432312132420 its reverse (24231213234001), we get a palindrome (124663525366421).

The spelling of 100432312132420 in words is "one hundred trillion, four hundred thirty-two billion, three hundred twelve million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 119513 239026 478052 597565 1195130 1448873 2390260 2897746 3465877 5795492 6931754 7244365 13863508 14488730 17329385 28977460 34658770 42017317 69317540 84034634 168069268 210086585 420173170 840346340 173159158849 346318317698 692636635396 865795794245 1731591588490 3463183176980 5021615606621 10043231213242 20086462426484 25108078033105 50216156066210 100432312132420