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2937141013 is a prime number
BaseRepresentation
bin1010111100010001…
…0011011100010101
321120200202020000111
42233010103130111
522003402003023
61203241043021
7132533200222
oct25704233425
97520666014
102937141013
111277a37574
1269b786471
1337a676181
141dc122949
15122cc900d
hexaf113715

2937141013 has 2 divisors, whose sum is σ = 2937141014. Its totient is φ = 2937141012.

The previous prime is 2937141001. The next prime is 2937141023. The reversal of 2937141013 is 3101417392.

2937141013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2872209649 + 64931364 = 53593^2 + 8058^2 .

It is a cyclic number.

It is not a de Polignac number, because 2937141013 - 29 = 2937140501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2937141023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1468570506 + 1468570507.

It is an arithmetic number, because the mean of its divisors is an integer number (1468570507).

Almost surely, 22937141013 is an apocalyptic number.

It is an amenable number.

2937141013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2937141013 is an equidigital number, since it uses as much as digits as its factorization.

2937141013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 2937141013 is about 54195.3966034017. The cubic root of 2937141013 is about 1432.1052358408.

The spelling of 2937141013 in words is "two billion, nine hundred thirty-seven million, one hundred forty-one thousand, thirteen".