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2013511381 = 7245789917
BaseRepresentation
bin111100000000011…
…1011111011010101
312012022202222100121
41320000323323111
513110424331011
6531444311541
7100616364400
oct17000737325
95168688317
102013511381
119436359a2
124823a25b1
132611c826b
141515b4d37
15bbb80e71
hex7803bed5

2013511381 has 12 divisors (see below), whose sum is σ = 2347399308. Its totient is φ = 1722071232.

The previous prime is 2013511373. The next prime is 2013511387. The reversal of 2013511381 is 1831153102.

It can be written as a sum of positive squares in 2 ways, for example, as 1727732356 + 285779025 = 41566^2 + 16905^2 .

It is not a de Polignac number, because 2013511381 - 23 = 2013511373 is a prime.

It is a super-2 number, since 2×20135113812 = 8108456162833054322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013511387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22566 + ... + 67351.

It is an arithmetic number, because the mean of its divisors is an integer number (195616609).

Almost surely, 22013511381 is an apocalyptic number.

It is an amenable number.

2013511381 is a deficient number, since it is larger than the sum of its proper divisors (333887927).

2013511381 is an equidigital number, since it uses as much as digits as its factorization.

2013511381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90388 (or 90381 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 2013511381 is about 44872.1671083535. The cubic root of 2013511381 is about 1262.7518968801.

Adding to 2013511381 its reverse (1831153102), we get a palindrome (3844664483).

The spelling of 2013511381 in words is "two billion, thirteen million, five hundred eleven thousand, three hundred eighty-one".

Divisors: 1 7 49 457 3199 22393 89917 629419 4405933 41092069 287644483 2013511381