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2013314020 = 225412455261
BaseRepresentation
bin111100000000000…
…1011101111100100
312012022101221121221
41320000023233210
513110402022040
6531440150124
7100614613114
oct17000135744
95168357557
102013314020
11943510693
12482308344
13261159493
14151563044
15bbb4274a
hex7800bbe4

2013314020 has 24 divisors (see below), whose sum is σ = 4331082168. Its totient is φ = 785683200.

The previous prime is 2013314011. The next prime is 2013314057. The reversal of 2013314020 is 204133102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 2010804964 = 1584^2 + 44842^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2013313985 and 2013314003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1226811 + ... + 1228450.

It is an arithmetic number, because the mean of its divisors is an integer number (180461757).

Almost surely, 22013314020 is an apocalyptic number.

2013314020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013314020 is an abundant number, since it is smaller than the sum of its proper divisors (2317768148).

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

2013314020 is a wasteful number, since it uses less digits than its factorization.

2013314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455311 (or 2455309 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2013314020 is about 44869.9679072762. The cubic root of 2013314020 is about 1262.7106379261.

Adding to 2013314020 its reverse (204133102), we get a palindrome (2217447122).

The spelling of 2013314020 in words is "two billion, thirteen million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 2455261 4910522 9821044 12276305 24552610 49105220 100665701 201331402 402662804 503328505 1006657010 2013314020