Search a number
-
+
37123920341 is a prime number
BaseRepresentation
bin100010100100110000…
…100001000111010101
310112211020012112220122
4202210300201013111
51102012210422331
625015434241325
72452652054624
oct424460410725
9115736175818
1037123920341
1114820537902
127240886245
133668268491
141b226216bb
15e7427017b
hex8a4c211d5

37123920341 has 2 divisors, whose sum is σ = 37123920342. Its totient is φ = 37123920340.

The previous prime is 37123920263. The next prime is 37123920343. The reversal of 37123920341 is 14302932173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26780013316 + 10343907025 = 163646^2 + 101705^2 .

It is a cyclic number.

It is not a de Polignac number, because 37123920341 - 218 = 37123658197 is a prime.

It is a super-2 number, since 2×371239203412 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 37123920343, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37123920343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18561960170 + 18561960171.

It is an arithmetic number, because the mean of its divisors is an integer number (18561960171).

Almost surely, 237123920341 is an apocalyptic number.

It is an amenable number.

37123920341 is a deficient number, since it is larger than the sum of its proper divisors (1).

37123920341 is an equidigital number, since it uses as much as digits as its factorization.

37123920341 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 spelling of 37123920341 in words is "thirty-seven billion, one hundred twenty-three million, nine hundred twenty thousand, three hundred forty-one".