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100101313242 = 234788272763
BaseRepresentation
bin101110100111010000…
…0001101001011011010
3100120101020021120220000
41131032200031023122
53120001414010432
6113552542313430
710142414060250
oct1351640151332
9316336246800
10100101313242
11394a8644257
1217497888876
1395937c2bc8
144bb86b45d0
15290d09d57c
hex174e80d2da

100101313242 has 40 divisors (see below), whose sum is σ = 256344106656. Its totient is φ = 28600374888.

The previous prime is 100101313241. The next prime is 100101313261. The reversal of 100101313242 is 242313101001.

100101313242 is a `hidden beast` number, since 10 + 0 + 101 + 313 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100101313241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44135248 + ... + 44137515.

Almost surely, 2100101313242 is an apocalyptic number.

100101313242 is an abundant number, since it is smaller than the sum of its proper divisors (156242793414).

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

100101313242 is an equidigital number, since it uses as much as digits as its factorization.

100101313242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88272784 (or 88272775 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100101313242 its reverse (242313101001), we get a palindrome (342414414243).

The spelling of 100101313242 in words is "one hundred billion, one hundred one million, three hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 88272763 176545526 264818289 529636578 617909341 794454867 1235818682 1588909734 1853728023 2383364601 3707456046 4766729202 5561184069 7150093803 11122368138 14300187606 16683552207 33367104414 50050656621 100101313242