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122641397 is a prime number
BaseRepresentation
bin1110100111101…
…01101111110101
322112202211100222
413103311233311
5222344011042
620100344125
73016302044
oct723655765
9275684328
10122641397
116325632a
12350a5045
131c540298
141240655b
15ab782d2
hex74f5bf5

122641397 has 2 divisors, whose sum is σ = 122641398. Its totient is φ = 122641396.

The previous prime is 122641369. The next prime is 122641411. The reversal of 122641397 is 793146221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122633476 + 7921 = 11074^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 122641397 - 210 = 122640373 is a prime.

It is a super-3 number, since 3×1226413973 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122641327) 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, 61320698 + 61320699.

It is an arithmetic number, because the mean of its divisors is an integer number (61320699).

Almost surely, 2122641397 is an apocalyptic number.

It is an amenable number.

122641397 is a deficient number, since it is larger than the sum of its proper divisors (1).

122641397 is an equidigital number, since it uses as much as digits as its factorization.

122641397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 35.

The square root of 122641397 is about 11074.3576337411. The cubic root of 122641397 is about 496.8352064277.

The spelling of 122641397 in words is "one hundred twenty-two million, six hundred forty-one thousand, three hundred ninety-seven".