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53013401300 = 2252530134013
BaseRepresentation
bin110001010111110110…
…000100111011010100
312001211121001211002102
4301113312010323110
51332032412320200
640204245101232
73554502322166
oct612766047324
9161747054072
1053013401300
1120534757052
12a3360b7818
134ccb167012
1427cca24936
1515a41d46d5
hexc57d84ed4

53013401300 has 18 divisors (see below), whose sum is σ = 115039081038. Its totient is φ = 21205360480.

The previous prime is 53013401299. The next prime is 53013401303. The reversal of 53013401300 is 310431035.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16908841156 + 36104560144 = 130034^2 + 190012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53013401303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 265066907 + ... + 265067106.

Almost surely, 253013401300 is an apocalyptic number.

53013401300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53013401300 is an abundant number, since it is smaller than the sum of its proper divisors (62025679738).

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

53013401300 is a wasteful number, since it uses less digits than its factorization.

53013401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530134027 (or 530134020 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 53013401300 its reverse (310431035), we get a palindrome (53323832335).

The spelling of 53013401300 in words is "fifty-three billion, thirteen million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 530134013 1060268026 2120536052 2650670065 5301340130 10602680260 13253350325 26506700650 53013401300