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10100113140 = 22351312948863
BaseRepresentation
bin10010110100000001…
…10111111011110100
3222001220010220112110
421122000313323310
5131141112110030
64350120251020
7505201354665
oct113200677364
928056126473
1010100113140
114313283547
121b5a610a70
13c4c670610
146bb58336c
153e1a861b0
hex25a037ef4

10100113140 has 48 divisors (see below), whose sum is σ = 30455728128. Its totient is φ = 2486181504.

The previous prime is 10100113139. The next prime is 10100113183. The reversal of 10100113140 is 4131100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6473652 + ... + 6475211.

It is an arithmetic number, because the mean of its divisors is an integer number (634494336).

Almost surely, 210100113140 is an apocalyptic number.

10100113140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100113140 is an abundant number, since it is smaller than the sum of its proper divisors (20355614988).

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

10100113140 is a wasteful number, since it uses less digits than its factorization.

10100113140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12948888 (or 12948886 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10100113140 its reverse (4131100101), we get a palindrome (14231213241).

The spelling of 10100113140 in words is "ten billion, one hundred million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 12948863 25897726 38846589 51795452 64744315 77693178 129488630 155386356 168335219 194232945 258977260 336670438 388465890 505005657 673340876 776931780 841676095 1010011314 1683352190 2020022628 2525028285 3366704380 5050056570 10100113140