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10113130242 = 2321900129569
BaseRepresentation
bin10010110101100101…
…00001111100000010
3222002210122020122100
421122302201330002
5131202430131432
64351303251230
7505420121505
oct113262417402
928083566570
1010113130242
11431a664486
121b62a49b16
13c5227a547
146bd1b113c
153e2ca807c
hex25aca1f02

10113130242 has 24 divisors (see below), whose sum is σ = 21913676460. Its totient is φ = 3370752000.

The previous prime is 10113130229. The next prime is 10113130277. The reversal of 10113130242 is 24203131101.

It can be written as a sum of positive squares in 2 ways, for example, as 9811100601 + 302029641 = 99051^2 + 17379^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327234 + ... + 356802.

Almost surely, 210113130242 is an apocalyptic number.

10113130242 is an abundant number, since it is smaller than the sum of its proper divisors (11800546218).

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

10113130242 is a wasteful number, since it uses less digits than its factorization.

10113130242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48578 (or 48575 counting only the distinct ones).

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

Adding to 10113130242 its reverse (24203131101), we get a palindrome (34316261343).

It can be divided in two parts, 1011 and 3130242, that added together give a triangular number (3131253 = T2502).

The spelling of 10113130242 in words is "ten billion, one hundred thirteen million, one hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19001 29569 38002 57003 59138 88707 114006 171009 177414 266121 342018 532242 561840569 1123681138 1685521707 3371043414 5056565121 10113130242