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11314312400 = 245228285781
BaseRepresentation
bin10101000100110001…
…01011010011010000
31002012111212121210102
422202120223103100
5141132430444100
65110412551532
7550244032346
oct124230532320
932174777712
1011314312400
1148866a8406
1222391825a8
1310b4096b11
1479492b996
15463478cd5
hex2a262b4d0

11314312400 has 30 divisors (see below), whose sum is σ = 27182636502. Its totient is φ = 4525724800.

The previous prime is 11314312369. The next prime is 11314312403. The reversal of 11314312400 is 421341311.

It can be written as a sum of positive squares in 3 ways, for example, as 2628817984 + 8685494416 = 51272^2 + 93196^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314312403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14142491 + ... + 14143290.

Almost surely, 211314312400 is an apocalyptic number.

11314312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314312400 is an abundant number, since it is smaller than the sum of its proper divisors (15868324102).

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

11314312400 is a wasteful number, since it uses less digits than its factorization.

11314312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28285799 (or 28285788 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11314312400 its reverse (421341311), we get a palindrome (11735653711).

The spelling of 11314312400 in words is "eleven billion, three hundred fourteen million, three hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 28285781 56571562 113143124 141428905 226286248 282857810 452572496 565715620 707144525 1131431240 1414289050 2262862480 2828578100 5657156200 11314312400