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10423043400 = 233527111723577
BaseRepresentation
bin10011011010100001…
…10000010101001000
3222220101210110120110
421231100300111020
5132321244342100
64442133554320
7516202256430
oct115520602510
928811713513
1010423043400
114469599860
12202a7a59a0
13ca1539503
1470c4052c0
154100c4250
hex26d430548

10423043400 has 768 divisors, whose sum is σ = 44585717760. Its totient is φ = 1946419200.

The previous prime is 10423043363. The next prime is 10423043401. The reversal of 10423043400 is 434032401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10423043401) 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 191 ways as a sum of consecutive naturals, for example, 18063912 + ... + 18064488.

It is an arithmetic number, because the mean of its divisors is an integer number (58054320).

Almost surely, 210423043400 is an apocalyptic number.

10423043400 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 10423043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22292858880).

10423043400 is an abundant number, since it is smaller than the sum of its proper divisors (34162674360).

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

10423043400 is a wasteful number, since it uses less digits than its factorization.

10423043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10423043400 its reverse (434032401), we get a palindrome (10857075801).

The spelling of 10423043400 in words is "ten billion, four hundred twenty-three million, forty-three thousand, four hundred".