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2013204300 = 2235233719913
BaseRepresentation
bin111011111111111…
…0000111101001100
312012022012101010020
41313333300331030
513110340014200
6531433542140
7100613645202
oct16777607514
95168171106
102013204300
11943446208
12482274950
1326111b563
14151535072
15bbb1eea0
hex77ff0f4c

2013204300 has 72 divisors (see below), whose sum is σ = 5842448976. Its totient is φ = 535234560.

The previous prime is 2013204269. The next prime is 2013204301. The reversal of 2013204300 is 34023102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013204300.

It is not an unprimeable number, because it can be changed into a prime (2013204301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91144 + ... + 111056.

Almost surely, 22013204300 is an apocalyptic number.

2013204300 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 2013204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921224488).

2013204300 is an abundant number, since it is smaller than the sum of its proper divisors (3829244676).

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

2013204300 is a wasteful number, since it uses less digits than its factorization.

2013204300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20267 (or 20260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2013204300 is about 44868.7452465522. The cubic root of 2013204300 is about 1262.6876994398.

Adding to 2013204300 its reverse (34023102), we get a palindrome (2047227402).

The spelling of 2013204300 in words is "two billion, thirteen million, two hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 337 674 1011 1348 1685 2022 3370 4044 5055 6740 8425 10110 16850 19913 20220 25275 33700 39826 50550 59739 79652 99565 101100 119478 199130 238956 298695 398260 497825 597390 995650 1194780 1493475 1991300 2986950 5973900 6710681 13421362 20132043 26842724 33553405 40264086 67106810 80528172 100660215 134213620 167767025 201320430 335534050 402640860 503301075 671068100 1006602150 2013204300