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11124124400 = 2452162717093
BaseRepresentation
bin10100101110000110…
…01010101011110000
31001201021000001220102
422113003022223300
5140240233440100
65035500331532
7542444332364
oct122703125360
931637001812
1011124124400
114799307344
1221a5543ba8
13108386693c
147775812a4
1545190bcd5
hex2970caaf0

11124124400 has 60 divisors (see below), whose sum is σ = 26743699752. Its totient is φ = 4446654720.

The previous prime is 11124124391. The next prime is 11124124411. The reversal of 11124124400 is 442142111.

It is a super-2 number, since 2×111241244002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 642254 + ... + 659346.

Almost surely, 211124124400 is an apocalyptic number.

11124124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11124124400 is an abundant number, since it is smaller than the sum of its proper divisors (15619575352).

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

11124124400 is a wasteful number, since it uses less digits than its factorization.

11124124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18738 (or 18727 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11124124400 its reverse (442142111), we get a palindrome (11566266511).

The spelling of 11124124400 in words is "eleven billion, one hundred twenty-four million, one hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1627 3254 6508 8135 13016 16270 17093 26032 32540 34186 40675 65080 68372 81350 85465 130160 136744 162700 170930 273488 325400 341860 427325 650800 683720 854650 1367440 1709300 3418600 6837200 27810311 55620622 111241244 139051555 222482488 278103110 444964976 556206220 695257775 1112412440 1390515550 2224824880 2781031100 5562062200 11124124400