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5103381024 = 25357295361
BaseRepresentation
bin1001100000010111…
…10110101000100000
3111011122220121200000
410300023312220200
540422431143044
62202223100000
7240316010610
oct46013665040
914148817600
105103381024
1121897a8775
12ba5141600
136343b72b1
14365ad2a40
151ed077d69
hex1302f6a20

5103381024 has 576 divisors, whose sum is σ = 18426320640. Its totient is φ = 1358622720.

The previous prime is 5103380993. The next prime is 5103381043. The reversal of 5103381024 is 4201833015.

It is a happy number.

It is a super-2 number, since 2×51033810242 = 52088995752246577152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 83661954 + ... + 83662014.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 25103381024 is an apocalyptic number.

5103381024 is a gapful number since it is divisible by the number (54) 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 5103381024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213160320).

5103381024 is an abundant number, since it is smaller than the sum of its proper divisors (13322939616).

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

5103381024 is a wasteful number, since it uses less digits than its factorization.

5103381024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5103381024 is about 71437.9522662849. The cubic root of 5103381024 is about 1721.6809130872.

The spelling of 5103381024 in words is "five billion, one hundred three million, three hundred eighty-one thousand, twenty-four".