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3113421311 = 7111373137311
BaseRepresentation
bin1011100110010011…
…0000100111111111
322000222110012010102
42321210300213333
522334013440221
61232535231315
7140103434030
oct27144604777
98028405112
103113421311
111358499570
1272a81853b
133a8046c40
142176cca87
151334ea30b
hexb99309ff

3113421311 has 64 divisors (see below), whose sum is σ = 4282177536. Its totient is φ = 2185574400.

The previous prime is 3113421281. The next prime is 3113421317. The reversal of 3113421311 is 1131243113.

It is a cyclic number.

It is not a de Polignac number, because 3113421311 - 230 = 2039679487 is a prime.

It is a super-3 number, since 3×31134213113 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113421317) 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 63 ways as a sum of consecutive naturals, for example, 10010846 + ... + 10011156.

It is an arithmetic number, because the mean of its divisors is an integer number (66909024).

Almost surely, 23113421311 is an apocalyptic number.

3113421311 is a deficient number, since it is larger than the sum of its proper divisors (1168756225).

3113421311 is a wasteful number, since it uses less digits than its factorization.

3113421311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552.

The product of its digits is 216, while the sum is 20.

The square root of 3113421311 is about 55798.0403867376. The cubic root of 3113421311 is about 1460.2009654870.

Adding to 3113421311 its reverse (1131243113), we get a palindrome (4244664424).

It can be divided in two parts, 3113 and 421311, that added together give a palindrome (424424).

The spelling of 3113421311 in words is "three billion, one hundred thirteen million, four hundred twenty-one thousand, three hundred eleven".

Divisors: 1 7 11 13 73 77 91 137 143 311 511 803 949 959 1001 1507 1781 2177 3421 4043 5621 6643 10001 10439 10549 12467 19591 22703 23947 28301 42607 44473 70007 73073 110011 130013 137137 158921 249733 295139 298249 311311 468677 553891 770077 910091 1430143 1748131 2065973 3110311 3246529 3280739 3877237 6092801 10011001 21772177 22725703 34213421 40434043 42649607 239493947 283038301 444774473 3113421311