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54130130100 = 22325217113131239
BaseRepresentation
bin110010011010011010…
…000011110010110100
312011201102101112000100
4302122122003302310
51341324303130400
640511140314100
73624252341244
oct623232036264
9164642345010
1054130130100
1120a58057a12
12a5a80a2930
1351486241a7
142897079b24
15161c272100
hexc9a683cb4

54130130100 has 432 divisors, whose sum is σ = 183385762560. Its totient is φ = 13306675200.

The previous prime is 54130130071. The next prime is 54130130113. The reversal of 54130130100 is 103103145.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 226485781 + ... + 226486019.

It is an arithmetic number, because the mean of its divisors is an integer number (424504080).

Almost surely, 254130130100 is an apocalyptic number.

54130130100 is a gapful number since it is divisible by the number (50) 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 54130130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91692881280).

54130130100 is an abundant number, since it is smaller than the sum of its proper divisors (129255632460).

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

54130130100 is a wasteful number, since it uses less digits than its factorization.

54130130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 54130130100 its reverse (103103145), we get a palindrome (54233233245).

The spelling of 54130130100 in words is "fifty-four billion, one hundred thirty million, one hundred thirty thousand, one hundred".