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2013312300 = 2235225726113
BaseRepresentation
bin111100000000000…
…1011010100101100
312012022101212021020
41320000023110230
513110401443200
6531440134140
7100614605106
oct17000132454
95168355236
102013312300
1194350a36a
12482307350
1326115876c
14151562576
15bbb41ea0
hex7800b52c

2013312300 has 72 divisors (see below), whose sum is σ = 5848073616. Its totient is φ = 534773760.

The previous prime is 2013312293. The next prime is 2013312341. The reversal of 2013312300 is 32133102.

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 2013312300.

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, 64044 + ... + 90156.

Almost surely, 22013312300 is an apocalyptic number.

2013312300 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 2013312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924036808).

2013312300 is an abundant number, since it is smaller than the sum of its proper divisors (3834761316).

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

2013312300 is a wasteful number, since it uses less digits than its factorization.

2013312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26387 (or 26380 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2013312300 is about 44869.9487407775. The cubic root of 2013312300 is about 1262.7102783427.

Adding to 2013312300 its reverse (32133102), we get a palindrome (2045445402).

The spelling of 2013312300 in words is "two billion, thirteen million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 257 300 514 771 1028 1285 1542 2570 3084 3855 5140 6425 7710 12850 15420 19275 25700 26113 38550 52226 77100 78339 104452 130565 156678 261130 313356 391695 522260 652825 783390 1305650 1566780 1958475 2611300 3916950 6711041 7833900 13422082 20133123 26844164 33555205 40266246 67110410 80532492 100665615 134220820 167776025 201331230 335552050 402662460 503328075 671104100 1006656150 2013312300