Search a number
-
+
100010232142431 = 31319528125557011
BaseRepresentation
bin10110101111010101110010…
…010111000101101001011111
3111010002212220000220012221220
4112233111302113011221133
5101102031423412024211
6552412022201024423
730031333533002262
oct2657256227055137
9433085800805856
10100010232142431
1129959112868236
12b2727a0485113
1343a5c02c628b0
141a9a741b22cd9
15b86767c35806
hex5af5725c5a5f

100010232142431 has 32 divisors (see below), whose sum is σ = 151191193870080. Its totient is φ = 58294517529600.

The previous prime is 100010232142427. The next prime is 100010232142451. The reversal of 100010232142431 is 134241232010001.

It is not a de Polignac number, because 100010232142431 - 22 = 100010232142427 is a prime.

It is a super-2 number, since 2×1000102321424312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010232142421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8865285 + ... + 16691726.

It is an arithmetic number, because the mean of its divisors is an integer number (4724724808440).

Almost surely, 2100010232142431 is an apocalyptic number.

100010232142431 is a deficient number, since it is larger than the sum of its proper divisors (51180961727649).

100010232142431 is a wasteful number, since it uses less digits than its factorization.

100010232142431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25562327.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100010232142431 its reverse (134241232010001), we get a palindrome (234251464152432).

The spelling of 100010232142431 in words is "one hundred trillion, ten billion, two hundred thirty-two million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 13 19 39 57 247 741 5281 15843 68653 100339 205959 301017 1304407 3913221 25557011 76671033 332241143 485583209 996723429 1456749627 6312581717 18937745151 134966575091 404899725273 1754565476183 2564364926729 5263696428549 7693094780187 33336744047477 100010232142431