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10230132400 = 245273350347
BaseRepresentation
bin10011000011100001…
…10110111010110000
3222101221210120102121
421201300312322300
5131422403214100
64411043124024
7511340455615
oct114160667260
928357716377
1010230132400
11437a708984
121b96073614
13c70594aa7
146d094a50c
153ed1ba51a
hex261c36eb0

10230132400 has 60 divisors (see below), whose sum is σ = 24914647672. Its totient is φ = 4035985920.

The previous prime is 10230132397. The next prime is 10230132421. The reversal of 10230132400 is 423103201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 145974 + ... + 204373.

Almost surely, 210230132400 is an apocalyptic number.

10230132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10230132400 is an abundant number, since it is smaller than the sum of its proper divisors (14684515272).

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

10230132400 is a wasteful number, since it uses less digits than its factorization.

10230132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350438 (or 350427 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10230132400 its reverse (423103201), we get a palindrome (10653235601).

The spelling of 10230132400 in words is "ten billion, two hundred thirty million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 5840 7300 14600 29200 350347 700694 1401388 1751735 2802776 3503470 5605552 7006940 8758675 14013880 17517350 25575331 28027760 35034700 51150662 70069400 102301324 127876655 140138800 204602648 255753310 409205296 511506620 639383275 1023013240 1278766550 2046026480 2557533100 5115066200 10230132400