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2013511631 = 47791134799
BaseRepresentation
bin111100000000011…
…1011111111001111
312012022202222200212
41320000323333033
513110424333011
6531444313035
7100616365205
oct17000737717
95168688625
102013511631
119436360aa
124823a277b
132611c8401
141515b5075
15bbb8108b
hex7803bfcf

2013511631 has 16 divisors (see below), whose sum is σ = 2101248000. Its totient is φ = 1928105088.

The previous prime is 2013511627. The next prime is 2013511657. The reversal of 2013511631 is 1361153102.

It is a cyclic number.

It is not a de Polignac number, because 2013511631 - 22 = 2013511627 is a prime.

It is a super-2 number, since 2×20135116312 = 8108458176344560322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013511597 and 2013511606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013511831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417170 + ... + 421968.

It is an arithmetic number, because the mean of its divisors is an integer number (131328000).

Almost surely, 22013511631 is an apocalyptic number.

2013511631 is a deficient number, since it is larger than the sum of its proper divisors (87736369).

2013511631 is a wasteful number, since it uses less digits than its factorization.

2013511631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 2013511631 is about 44872.1698940446. The cubic root of 2013511631 is about 1262.7519491417.

Adding to 2013511631 its reverse (1361153102), we get a palindrome (3374664733).

The spelling of 2013511631 in words is "two billion, thirteen million, five hundred eleven thousand, six hundred thirty-one".

Divisors: 1 47 79 113 3713 4799 5311 8927 225553 379121 419569 542287 17818687 25487489 42840673 2013511631