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10100530242 = 23211443115153
BaseRepresentation
bin10010110100000100…
…11101110001000010
3222001220221002200200
421122002131301002
5131141213431432
64350133230030
7505205043015
oct113202356102
928056832620
1010100530242
114313538960
121b5a792316
13c4c78841a
146bb65137c
153e1b19a7c
hex25a09dc42

10100530242 has 48 divisors (see below), whose sum is σ = 23928079968. Its totient is φ = 3053831040.

The previous prime is 10100530241. The next prime is 10100530249. The reversal of 10100530242 is 24203500101.

10100530242 is a `hidden beast` number, since 10 + 100 + 530 + 24 + 2 = 666.

It is a super-2 number, since 2×101005302422 (a number of 21 digits) contains 22 as substring.

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 (10100530241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30138 + ... + 145290.

It is an arithmetic number, because the mean of its divisors is an integer number (498501666).

Almost surely, 210100530242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100530242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11964039984).

10100530242 is an abundant number, since it is smaller than the sum of its proper divisors (13827549726).

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

10100530242 is a wasteful number, since it uses less digits than its factorization.

10100530242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115615 (or 115612 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 10100530242 in words is "ten billion, one hundred million, five hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 443 886 1329 2658 3987 4873 7974 9746 14619 29238 43857 87714 115153 230306 345459 690918 1036377 1266683 2072754 2533366 3800049 7600098 11400147 22800294 51012779 102025558 153038337 306076674 459115011 561140569 918230022 1122281138 1683421707 3366843414 5050265121 10100530242