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11312422400 = 2952883783
BaseRepresentation
bin10101000100100010…
…11101111000000000
31002012101022121012102
422202101131320000
5141131440004100
65110304245532
7550222001216
oct124221357000
932171277172
1011312422400
114885627424
1222386108a8
1310b3884786
14794598cb6
15463203cd5
hex2a245de00

11312422400 has 60 divisors (see below), whose sum is σ = 28027441992. Its totient is φ = 4524963840.

The previous prime is 11312422397. The next prime is 11312422409. The reversal of 11312422400 is 422421311.

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 (11312422409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 429092 + ... + 454691.

Almost surely, 211312422400 is an apocalyptic number.

11312422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312422400 is an abundant number, since it is smaller than the sum of its proper divisors (16715019592).

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

11312422400 is an frugal number, since it uses more digits than its factorization.

11312422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883811 (or 883790 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11312422400 its reverse (422421311), we get a palindrome (11734843711).

The spelling of 11312422400 in words is "eleven billion, three hundred twelve million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 883783 1767566 3535132 4418915 7070264 8837830 14140528 17675660 22094575 28281056 35351320 44189150 56562112 70702640 88378300 113124224 141405280 176756600 226248448 282810560 353513200 452496896 565621120 707026400 1131242240 1414052800 2262484480 2828105600 5656211200 11312422400