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2013121037 is a prime number
BaseRepresentation
bin111011111111101…
…1100101000001101
312012022001010220102
41313333130220031
513110324333122
6531432100445
7100613150354
oct16777345015
95168033812
102013121037
119433996a4
12482234725
132610bc6a5
1415151299b
15bbb05492
hex77fdca0d

2013121037 has 2 divisors, whose sum is σ = 2013121038. Its totient is φ = 2013121036.

The previous prime is 2013121013. The next prime is 2013121057. The reversal of 2013121037 is 7301213102.

It is an a-pointer prime, because the next prime (2013121057) can be obtained adding 2013121037 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1329769156 + 683351881 = 36466^2 + 26141^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013121037 - 216 = 2013055501 is a prime.

It is a super-2 number, since 2×20131210372 = 8105312619223910738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013121057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006560518 + 1006560519.

It is an arithmetic number, because the mean of its divisors is an integer number (1006560519).

Almost surely, 22013121037 is an apocalyptic number.

It is an amenable number.

2013121037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013121037 is an equidigital number, since it uses as much as digits as its factorization.

2013121037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 2013121037 is about 44867.8173861845. The cubic root of 2013121037 is about 1262.6702915997.

Adding to 2013121037 its reverse (7301213102), we get a palindrome (9314334139).

The spelling of 2013121037 in words is "two billion, thirteen million, one hundred twenty-one thousand, thirty-seven".