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2013410120 = 23550335253
BaseRepresentation
bin111100000000010…
…0011001101001000
312012022120211110012
41320000203031020
513110413110440
6531442211052
7100615463231
oct17000431510
95168524405
102013410120
11943576907
12482353a88
13261191147
1415158a088
15bbb60e65
hex78023348

2013410120 has 16 divisors (see below), whose sum is σ = 4530172860. Its totient is φ = 805364032.

The previous prime is 2013410117. The next prime is 2013410123. The reversal of 2013410120 is 210143102.

It is an interprime number because it is at equal distance from previous prime (2013410117) and next prime (2013410123).

It can be written as a sum of positive squares in 2 ways, for example, as 1887207364 + 126202756 = 43442^2 + 11234^2 .

It is a super-2 number, since 2×20134101202 = 8107640622636828800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013410095 and 2013410104.

It is not an unprimeable number, because it can be changed into a prime (2013410123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25167587 + ... + 25167666.

Almost surely, 22013410120 is an apocalyptic number.

2013410120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013410120 is an abundant number, since it is smaller than the sum of its proper divisors (2516762740).

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

2013410120 is a wasteful number, since it uses less digits than its factorization.

2013410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50335264 (or 50335260 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2013410120 is about 44871.0387666700. The cubic root of 2013410120 is about 1262.7307282780.

Adding to 2013410120 its reverse (210143102), we get a palindrome (2223553222).

The spelling of 2013410120 in words is "two billion, thirteen million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 50335253 100670506 201341012 251676265 402682024 503352530 1006705060 2013410120