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100242412231 = 13317110134687
BaseRepresentation
bin101110101011011101…
…0011101001011000111
3100120202001210011022111
41131112322131023013
53120244024142411
6114014542441451
710146046305463
oct1352672351307
9316661704274
10100242412231
1139570256a95
1217516b93287
1395b6ac6530
144bcd3234a3
15291a670721
hex1756e9d2c7

100242412231 has 32 divisors (see below), whose sum is σ = 114127405056. Its totient is φ = 87408720000.

The previous prime is 100242412223. The next prime is 100242412247. The reversal of 100242412231 is 132214242001.

It is a cyclic number.

It is not a de Polignac number, because 100242412231 - 23 = 100242412223 is a prime.

It is a super-2 number, since 2×1002424122312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100242412201) 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, 2872570 + ... + 2907256.

It is an arithmetic number, because the mean of its divisors is an integer number (3566481408).

Almost surely, 2100242412231 is an apocalyptic number.

100242412231 is a deficient number, since it is larger than the sum of its proper divisors (13884992825).

100242412231 is a wasteful number, since it uses less digits than its factorization.

100242412231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34903.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 100242412231 its reverse (132214242001), we get a palindrome (232456654232).

The spelling of 100242412231 in words is "one hundred billion, two hundred forty-two million, four hundred twelve thousand, two hundred thirty-one".

Divisors: 1 13 31 71 101 403 923 1313 2201 3131 7171 28613 34687 40703 93223 222301 450931 1075297 2462777 2889913 3503387 13978861 32016101 45544031 76346087 108604997 248740477 992499131 1411864961 3233626201 7710954787 100242412231