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11132400400 = 2452112530091
BaseRepresentation
bin10100101111000101…
…01111001100010000
31001201211120112102221
422113202233030100
5140244343303100
65040353550424
7542604561562
oct122742571420
931654515387
1011132400400
1147a2a4a210
1221a8275414
1310854a3894
147786d7332
154524e401a
hex2978af310

11132400400 has 60 divisors (see below), whose sum is σ = 29177020944. Its totient is φ = 4048144000.

The previous prime is 11132400347. The next prime is 11132400403. The reversal of 11132400400 is 400423111.

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

It is not an unprimeable number, because it can be changed into a prime (11132400403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1260646 + ... + 1269445.

Almost surely, 211132400400 is an apocalyptic number.

11132400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132400400 is an abundant number, since it is smaller than the sum of its proper divisors (18044620544).

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

11132400400 is a wasteful number, since it uses less digits than its factorization.

11132400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530120 (or 2530109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11132400400 its reverse (400423111), we get a palindrome (11532823511).

The spelling of 11132400400 in words is "eleven billion, one hundred thirty-two million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 2530091 5060182 10120364 12650455 20240728 25300910 27831001 40481456 50601820 55662002 63252275 101203640 111324004 126504550 139155005 202407280 222648008 253009100 278310010 445296016 506018200 556620020 695775025 1012036400 1113240040 1391550050 2226480080 2783100100 5566200200 11132400400