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11143103400 = 233252111343291
BaseRepresentation
bin10100110000010111…
…00100001110101000
31001202120201022012100
422120023210032220
5140310113302100
65041415213400
7543064546632
oct123013441650
931676638170
1011143103400
1147a8a9a570
1221ab977260
131087780410
14779cc1a52
1545340a400
hex2982e43a8

11143103400 has 288 divisors, whose sum is σ = 43965623520. Its totient is φ = 2493504000.

The previous prime is 11143103399. The next prime is 11143103423. The reversal of 11143103400 is 430134111.

11143103400 is a `hidden beast` number, since 1 + 1 + 14 + 310 + 340 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235755 + ... + 279045.

It is an arithmetic number, because the mean of its divisors is an integer number (152658415).

Almost surely, 211143103400 is an apocalyptic number.

11143103400 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 11143103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21982811760).

11143103400 is an abundant number, since it is smaller than the sum of its proper divisors (32822520120).

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

11143103400 is a wasteful number, since it uses less digits than its factorization.

11143103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43337 (or 43325 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11143103400 its reverse (430134111), we get a palindrome (11573237511).

The spelling of 11143103400 in words is "eleven billion, one hundred forty-three million, one hundred three thousand, four hundred".