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5010014100 = 223527132379101
BaseRepresentation
bin1001010101001111…
…01011111110010100
3110221011020002022210
410222213223332110
540230030422400
62145045553420
7235103263050
oct45247537624
913834202283
105010014100
112141027823
12b79a15870
1361ac569b0
1435754ac60
151e4c83950
hex12a9ebf94

5010014100 has 576 divisors, whose sum is σ = 19038781440. Its totient is φ = 988416000.

The previous prime is 5010014083. The next prime is 5010014111. The reversal of 5010014100 is 14100105.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 49604050 + ... + 49604150.

It is an arithmetic number, because the mean of its divisors is an integer number (33053440).

Almost surely, 25010014100 is an apocalyptic number.

5010014100 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 5010014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9519390720).

5010014100 is an abundant number, since it is smaller than the sum of its proper divisors (14028767340).

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

5010014100 is a wasteful number, since it uses less digits than its factorization.

5010014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 5010014100 is about 70781.4530791789. The cubic root of 5010014100 is about 1711.1167767314.

Adding to 5010014100 its reverse (14100105), we get a palindrome (5024114205).

The spelling of 5010014100 in words is "five billion, ten million, fourteen thousand, one hundred".