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2013100002 = 232111838889
BaseRepresentation
bin111011111111101…
…0111011111100010
312012022000002001100
41313333113133202
513110323200002
6531431415230
7100613032134
oct16777273742
95168002040
102013100002
11943384911
12482224516
132610b2c44
14151509054
15bbaee11c
hex77fd77e2

2013100002 has 12 divisors (see below), whose sum is σ = 4361716710. Its totient is φ = 671033328.

The previous prime is 2013099971. The next prime is 2013100043. The reversal of 2013100002 is 2000013102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1704781521 + 308318481 = 41289^2 + 17559^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55919427 + ... + 55919462.

Almost surely, 22013100002 is an apocalyptic number.

2013100002 is an abundant number, since it is smaller than the sum of its proper divisors (2348616708).

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

2013100002 is a wasteful number, since it uses less digits than its factorization.

2013100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111838897 (or 111838894 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2013100002 is about 44867.5829747937. The cubic root of 2013100002 is about 1262.6658937251.

Adding to 2013100002 its reverse (2000013102), we get a palindrome (4013113104).

The spelling of 2013100002 in words is "two billion, thirteen million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 111838889 223677778 335516667 671033334 1006550001 2013100002