Search a number
-
+
137033582381 is a prime number
BaseRepresentation
bin111111110011111010…
…1101000011100101101
3111002201002212020202222
41333213311220130231
54221121044114011
6142541413125125
712620551142303
oct1774765503455
9432632766688
10137033582381
115312a980733
12226843297a5
13cbcb1381b7
1468bd688273
1538705b2ddb
hex1fe7d6872d

137033582381 has 2 divisors, whose sum is σ = 137033582382. Its totient is φ = 137033582380.

The previous prime is 137033582359. The next prime is 137033582393. The reversal of 137033582381 is 183285330731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120096902500 + 16936679881 = 346550^2 + 130141^2 .

It is a cyclic number.

It is not a de Polignac number, because 137033582381 - 210 = 137033581357 is a prime.

It is a super-2 number, since 2×1370335823812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137033582311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68516791190 + 68516791191.

It is an arithmetic number, because the mean of its divisors is an integer number (68516791191).

Almost surely, 2137033582381 is an apocalyptic number.

It is an amenable number.

137033582381 is a deficient number, since it is larger than the sum of its proper divisors (1).

137033582381 is an equidigital number, since it uses as much as digits as its factorization.

137033582381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 137033582381 in words is "one hundred thirty-seven billion, thirty-three million, five hundred eighty-two thousand, three hundred eighty-one".