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2131042037 is a prime number
BaseRepresentation
bin111111100000101…
…0001111011110101
312111111221011002212
41333001101323311
513331021321122
6551243343205
7103544362355
oct17701217365
95444834085
102131042037
119a3a10473
124b5821b05
1327c669227
1416304ab65
15c7149ce2
hex7f051ef5

2131042037 has 2 divisors, whose sum is σ = 2131042038. Its totient is φ = 2131042036.

The previous prime is 2131042019. The next prime is 2131042049. The reversal of 2131042037 is 7302401312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1678458961 + 452583076 = 40969^2 + 21274^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131042037 - 226 = 2063933173 is a prime.

It is a super-3 number, since 3×21310420373 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2130042037) 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 as a sum of consecutive naturals, namely, 1065521018 + 1065521019.

It is an arithmetic number, because the mean of its divisors is an integer number (1065521019).

Almost surely, 22131042037 is an apocalyptic number.

It is an amenable number.

2131042037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131042037 is an equidigital number, since it uses as much as digits as its factorization.

2131042037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2131042037 is about 46163.2108610309. The cubic root of 2131042037 is about 1286.8581347307.

Adding to 2131042037 its reverse (7302401312), we get a palindrome (9433443349).

The spelling of 2131042037 in words is "two billion, one hundred thirty-one million, forty-two thousand, thirty-seven".