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10024300242 = 2321155699091
BaseRepresentation
bin10010101010111111…
…01010111011010010
3221212121111012210100
421111133222323102
5131012210101432
64334411313230
7503261101065
oct112537527322
927777435710
1010024300242
114284502160
121b3914b816
13c39a48008
146b148a8dc
153da0ad07c
hex2557eaed2

10024300242 has 48 divisors (see below), whose sum is σ = 23700661920. Its totient is φ = 3036787200.

The previous prime is 10024300219. The next prime is 10024300249. The reversal of 10024300242 is 24200342001.

10024300242 is a `hidden beast` number, since 100 + 24 + 300 + 242 = 666.

It is a super-2 number, since 2×100243002422 (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 (10024300249) 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, 1098117 + ... + 1107207.

It is an arithmetic number, because the mean of its divisors is an integer number (493763790).

Almost surely, 210024300242 is an apocalyptic number.

10024300242 is an abundant number, since it is smaller than the sum of its proper divisors (13676361678).

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

10024300242 is a wasteful number, since it uses less digits than its factorization.

10024300242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14679 (or 14676 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10024300242 its reverse (24200342001), we get a palindrome (34224642243).

It can be divided in two parts, 100 and 24300242, that added together give a palindrome (24300342).

The spelling of 10024300242 in words is "ten billion, twenty-four million, three hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 5569 9091 11138 16707 18182 27273 33414 50121 54546 61259 81819 100001 100242 122518 163638 183777 200002 300003 367554 551331 600006 900009 1102662 1800018 50627779 101255558 151883337 303766674 455650011 556905569 911300022 1113811138 1670716707 3341433414 5012150121 10024300242