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3137360381 is a prime number
BaseRepresentation
bin1011101100000000…
…0101000111111101
322002122111102100122
42323000011013331
522411131013011
61235152304325
7140514060161
oct27300050775
98078442318
103137360381
11136aa5a321
127368420a5
133acca927c
1421a960ca1
151356783db
hexbb0051fd

3137360381 has 2 divisors, whose sum is σ = 3137360382. Its totient is φ = 3137360380.

The previous prime is 3137360321. The next prime is 3137360411. The reversal of 3137360381 is 1830637313.

3137360381 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., 3003588025 + 133772356 = 54805^2 + 11566^2 .

It is an emirp because it is prime and its reverse (1830637313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3137360381 - 226 = 3070251517 is a prime.

It is a super-2 number, since 2×31373603812 = 19686060320536930322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3137360311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1568680190 + 1568680191.

It is an arithmetic number, because the mean of its divisors is an integer number (1568680191).

Almost surely, 23137360381 is an apocalyptic number.

It is an amenable number.

3137360381 is a deficient number, since it is larger than the sum of its proper divisors (1).

3137360381 is an equidigital number, since it uses as much as digits as its factorization.

3137360381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 3137360381 is about 56012.1449419677. The cubic root of 3137360381 is about 1463.9339051961.

Adding to 3137360381 its reverse (1830637313), we get a palindrome (4967997694).

The spelling of 3137360381 in words is "three billion, one hundred thirty-seven million, three hundred sixty thousand, three hundred eighty-one".