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2013030100 = 225253379817
BaseRepresentation
bin111011111111100…
…0110011011010100
312012021212112011101
41313333012123110
513110313430400
6531430115444
7100612321264
oct16777063324
95167775141
102013030100
11943337344
124821abb84
1326108a193
141514cb7a4
15bbad856a
hex77fc66d4

2013030100 has 36 divisors (see below), whose sum is σ = 4450707324. Its totient is φ = 790017280.

The previous prime is 2013030077. The next prime is 2013030113. The reversal of 2013030100 is 10303102.

It can be written as a sum of positive squares in 6 ways, for example, as 216796176 + 1796233924 = 14724^2 + 42382^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184609 + ... + 195208.

It is an arithmetic number, because the mean of its divisors is an integer number (123630759).

Almost surely, 22013030100 is an apocalyptic number.

2013030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013030100 is an abundant number, since it is smaller than the sum of its proper divisors (2437677224).

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

2013030100 is a wasteful number, since it uses less digits than its factorization.

2013030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379884 (or 379877 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2013030100 is about 44866.8039869122. The cubic root of 2013030100 is about 1262.6512788040.

Adding to 2013030100 its reverse (10303102), we get a palindrome (2023333202).

The spelling of 2013030100 in words is "two billion, thirteen million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 379817 759634 1519268 1899085 3798170 7596340 9495425 18990850 20130301 37981700 40260602 80521204 100651505 201303010 402606020 503257525 1006515050 2013030100