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2013010300 = 225276734273
BaseRepresentation
bin111011111111100…
…0001100101111100
312012021211112000001
41313333001211330
513110312312200
6531425444044
7100612206460
oct16777014574
95167745001
102013010300
11943323484
124821a0624
13261081172
141514c44a0
15bbad276a
hex77fc197c

2013010300 has 72 divisors (see below), whose sum is σ = 5000853536. Its totient is φ = 688988160.

The previous prime is 2013010261. The next prime is 2013010313. The reversal of 2013010300 is 30103102.

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 23 ways as a sum of consecutive naturals, for example, 468964 + ... + 473236.

Almost surely, 22013010300 is an apocalyptic number.

2013010300 is a gapful number since it is divisible by the number (20) 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 2013010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500426768).

2013010300 is an abundant number, since it is smaller than the sum of its proper divisors (2987843236).

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

2013010300 is a wasteful number, since it uses less digits than its factorization.

2013010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4960 counting only the distinct ones).

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

The square root of 2013010300 is about 44866.5833332559. The cubic root of 2013010300 is about 1262.6471390121.

Adding to 2013010300 its reverse (30103102), we get a palindrome (2043113402).

The spelling of 2013010300 in words is "two billion, thirteen million, ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 673 700 1346 2692 3365 4273 4711 6730 8546 9422 13460 16825 17092 18844 21365 23555 29911 33650 42730 47110 59822 67300 85460 94220 106825 117775 119644 149555 213650 235550 299110 427300 471100 598220 747775 1495550 2875729 2991100 5751458 11502916 14378645 20130103 28757290 40260206 57514580 71893225 80520412 100650515 143786450 201301030 287572900 402602060 503252575 1006505150 2013010300