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11231422400 = 2652111394591
BaseRepresentation
bin10100111010111000…
…11110011111000000
31001222201220101002102
422131130132133000
5141000221004100
65054252205532
7545216341502
oct123534363700
931881811072
1011231422400
114843932980
1222154698a8
13109cb64193
14787911d72
1545b053cd5
hex29d71e7c0

11231422400 has 168 divisors, whose sum is σ = 30372222720. Its totient is φ = 4053888000.

The previous prime is 11231422387. The next prime is 11231422427. The reversal of 11231422400 is 422413211.

It is a super-2 number, since 2×112314224002 (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 23 ways as a sum of consecutive naturals, for example, 2444105 + ... + 2448695.

It is an arithmetic number, because the mean of its divisors is an integer number (180787040).

Almost surely, 211231422400 is an apocalyptic number.

11231422400 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 11231422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186111360).

11231422400 is an abundant number, since it is smaller than the sum of its proper divisors (19140800320).

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

11231422400 is a wasteful number, since it uses less digits than its factorization.

11231422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4748 counting only the distinct ones).

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

Adding to 11231422400 its reverse (422413211), we get a palindrome (11653835611).

The spelling of 11231422400 in words is "eleven billion, two hundred thirty-one million, four hundred twenty-two thousand, four hundred".