Search a number
-
+
100112131312431 = 3747116778686369
BaseRepresentation
bin10110110000110100101100…
…000001100100101100101111
3111010110121220120011101200020
4112300310230001210230233
5101110214121103444211
6552530513405533223
730041601640442460
oct2660645401445457
9433417816141606
10100112131312431
1129998353231917
12b28a49a274213
1343b26c2075164
141aa164b0b2d67
15b8922da67306
hex5b0d2c064b2f

100112131312431 has 32 divisors (see below), whose sum is σ = 155810962728960. Its totient is φ = 55984962087936.

The previous prime is 100112131312429. The next prime is 100112131312447. The reversal of 100112131312431 is 134213131211001.

It is not a de Polignac number, because 100112131312431 - 21 = 100112131312429 is a prime.

It is a super-2 number, since 2×1001121313124312 (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 (100112131312931) 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, 7182015 + ... + 15868383.

It is an arithmetic number, because the mean of its divisors is an integer number (4869092585280).

Almost surely, 2100112131312431 is an apocalyptic number.

100112131312431 is a deficient number, since it is larger than the sum of its proper divisors (55698831416529).

100112131312431 is a wasteful number, since it uses less digits than its factorization.

100112131312431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8698103.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 100112131312431 its reverse (134213131211001), we get a palindrome (234325262523432).

The spelling of 100112131312431 in words is "one hundred trillion, one hundred twelve billion, one hundred thirty-one million, three hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 7 21 47 141 329 987 11677 35031 81739 245217 548819 1646457 3841733 8686369 11525199 26059107 60804583 182413749 408259343 1224778029 2857815401 8573446203 101430730813 304292192439 710015115691 2130045347073 4767244348211 14301733044633 33370710437477 100112131312431