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10121134130 = 2519234156489
BaseRepresentation
bin10010110110100010…
…00100000000110010
3222010100200212220122
421123101010000302
5131212002243010
64352151010242
7505545135452
oct113321040062
928110625818
1010121134130
114324130968
121b65669982
13c53b20683
146c0295d62
153e3839855
hex25b444032

10121134130 has 64 divisors (see below), whose sum is σ = 20499091200. Its totient is φ = 3579079680.

The previous prime is 10121134123. The next prime is 10121134139. The reversal of 10121134130 is 3143112101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10121134099 and 10121134108.

It is not an unprimeable number, because it can be changed into a prime (10121134139) 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, 150926 + ... + 207414.

It is an arithmetic number, because the mean of its divisors is an integer number (320298300).

Almost surely, 210121134130 is an apocalyptic number.

10121134130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121134130 is an abundant number, since it is smaller than the sum of its proper divisors (10377957070).

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

10121134130 is a wasteful number, since it uses less digits than its factorization.

10121134130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56579.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10121134130 its reverse (3143112101), we get a palindrome (13264246231).

The spelling of 10121134130 in words is "ten billion, one hundred twenty-one million, one hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 5 10 19 23 38 41 46 82 95 115 190 205 230 410 437 779 874 943 1558 1886 2185 3895 4370 4715 7790 9430 17917 35834 56489 89585 112978 179170 282445 564890 1073291 1299247 2146582 2316049 2598494 4632098 5366455 6496235 10732910 11580245 12992470 23160490 24685693 44004931 49371386 53269127 88009862 106538254 123428465 220024655 246856930 266345635 440049310 532691270 1012113413 2024226826 5060567065 10121134130