Search a number
-
+
100231300231312 = 24171314132804117
BaseRepresentation
bin10110110010100011101011…
…000010111011000010010000
3111010220000111122111201012111
4112302203223002323002100
5101114142200324400222
6553101342413235104
730053321025521035
oct2662435302730220
9433800448451174
10100231300231312
1129a33945a57438
12b2a95b7792a94
1343c0a04016543
141aa7313cbd38c
15b8c3a5aa6777
hex5b28eb0bb090

100231300231312 has 40 divisors (see below), whose sum is σ = 205623202471416. Its totient is φ = 47167294949376.

The previous prime is 100231300231291. The next prime is 100231300231313. The reversal of 100231300231312 is 213132003132001.

It can be written as a sum of positive squares in 4 ways, for example, as 76857904394496 + 23373395836816 = 8766864^2 + 4834604^2 .

It is not an unprimeable number, because it can be changed into a prime (100231300231313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34342278 + ... + 37146394.

Almost surely, 2100231300231312 is an apocalyptic number.

It is an amenable number.

100231300231312 is an abundant number, since it is smaller than the sum of its proper divisors (105391902240104).

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

100231300231312 is a wasteful number, since it uses less digits than its factorization.

100231300231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935555 (or 2935549 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 100231300231312 its reverse (213132003132001), we get a palindrome (313363303363313).

The spelling of 100231300231312 in words is "one hundred trillion, two hundred thirty-one billion, three hundred million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 131413 262826 525652 1051304 2102608 2234021 2804117 4468042 5608234 8936084 11216468 17872168 22432936 35744336 44865872 47669989 95339978 190679956 381359912 762719824 368497427321 736994854642 1473989709284 2947979418568 5895958837136 6264456264457 12528912528914 25057825057828 50115650115656 100231300231312