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137522200379 is a prime number
BaseRepresentation
bin1000000000010011110…
…1100011111100111011
3111010222011021121122212
42000010331203330323
54223121140403004
6143102110005335
712635633262464
oct2000475437473
9433864247585
10137522200379
1153360773663
122279baa684b
13cc78436685
146928519d6b
15389d42d96e
hex2004f63f3b

137522200379 has 2 divisors, whose sum is σ = 137522200380. Its totient is φ = 137522200378.

The previous prime is 137522200307. The next prime is 137522200391. The reversal of 137522200379 is 973002225731.

137522200379 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 is a cyclic number.

It is not a de Polignac number, because 137522200379 - 212 = 137522196283 is a prime.

It is not a weakly prime, because it can be changed into another prime (137522200979) 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, 68761100189 + 68761100190.

It is an arithmetic number, because the mean of its divisors is an integer number (68761100190).

Almost surely, 2137522200379 is an apocalyptic number.

137522200379 is a deficient number, since it is larger than the sum of its proper divisors (1).

137522200379 is an equidigital number, since it uses as much as digits as its factorization.

137522200379 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 41.

The spelling of 137522200379 in words is "one hundred thirty-seven billion, five hundred twenty-two million, two hundred thousand, three hundred seventy-nine".