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10524211400 = 235252621057
BaseRepresentation
bin10011100110100101…
…01011100011001000
31000011110011022222102
421303102223203020
5133023144231100
64500150212532
7521541215033
oct116322534310
930143138872
1010524211400
11451070887a
122058654148
13cb949b831
1471ba1c01a
15418e09cd5
hex2734ab8c8

10524211400 has 24 divisors (see below), whose sum is σ = 24468791970. Its totient is φ = 4209684480.

The previous prime is 10524211393. The next prime is 10524211409. The reversal of 10524211400 is 411242501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5762935396 + 4761276004 = 75914^2 + 69002^2 .

It is a super-2 number, since 2×105242114002 (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 not an unprimeable number, because it can be changed into a prime (10524211409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26310329 + ... + 26310728.

Almost surely, 210524211400 is an apocalyptic number.

10524211400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10524211400 is an abundant number, since it is smaller than the sum of its proper divisors (13944580570).

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

10524211400 is a wasteful number, since it uses less digits than its factorization.

10524211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52621073 (or 52621064 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10524211400 its reverse (411242501), we get a palindrome (10935453901).

The spelling of 10524211400 in words is "ten billion, five hundred twenty-four million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 52621057 105242114 210484228 263105285 420968456 526210570 1052421140 1315526425 2104842280 2631052850 5262105700 10524211400