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10231413400 = 2352139973947
BaseRepresentation
bin10011000011101011…
…01111101010011000
3222102001012122122001
421201311233222120
5131423220212100
64411130410344
7511354402405
oct114165575230
928361178561
1010231413400
11438040335a
121b965909b4
13c70922b90
146d0ba12ac
153ed36ed6a
hex261d6fa98

10231413400 has 96 divisors (see below), whose sum is σ = 25650077040. Its totient is φ = 3773007360.

The previous prime is 10231413377. The next prime is 10231413427. The reversal of 10231413400 is 431413201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2590227 + ... + 2594173.

Almost surely, 210231413400 is an apocalyptic number.

10231413400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10231413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825038520).

10231413400 is an abundant number, since it is smaller than the sum of its proper divisors (15418663640).

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

10231413400 is a wasteful number, since it uses less digits than its factorization.

10231413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10231413400 its reverse (431413201), we get a palindrome (10662826601).

The spelling of 10231413400 in words is "ten billion, two hundred thirty-one million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 997 1300 1994 2600 3947 3988 4985 7894 7976 9970 12961 15788 19735 19940 24925 25922 31576 39470 39880 49850 51311 51844 64805 78940 98675 99700 102622 103688 129610 157880 197350 199400 205244 256555 259220 324025 394700 410488 513110 518440 648050 789400 1026220 1282775 1296100 2052440 2565550 2592200 3935159 5131100 7870318 10262200 15740636 19675795 31481272 39351590 51157067 78703180 98378975 102314134 157406360 196757950 204628268 255785335 393515900 409256536 511570670 787031800 1023141340 1278926675 2046282680 2557853350 5115706700 10231413400