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122878800337 is a prime number
BaseRepresentation
bin111001001110000100…
…1011011000111010001
3102202011122010211011011
41302130021123013101
54003123433102322
6132241051050521
711610023366206
oct1623411330721
9382148124134
10122878800337
1148126974457
121b993a40a41
13b783744917
145d397ddcad
1532e2aa8677
hex1c9c25b1d1

122878800337 has 2 divisors, whose sum is σ = 122878800338. Its totient is φ = 122878800336.

The previous prime is 122878800251. The next prime is 122878800349. The reversal of 122878800337 is 733008878221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115077671361 + 7801128976 = 339231^2 + 88324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122878800337 is a prime.

It is a super-2 number, since 2×1228788003372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122878800637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61439400168 + 61439400169.

It is an arithmetic number, because the mean of its divisors is an integer number (61439400169).

Almost surely, 2122878800337 is an apocalyptic number.

It is an amenable number.

122878800337 is a deficient number, since it is larger than the sum of its proper divisors (1).

122878800337 is an equidigital number, since it uses as much as digits as its factorization.

122878800337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 903168, while the sum is 49.

The spelling of 122878800337 in words is "one hundred twenty-two billion, eight hundred seventy-eight million, eight hundred thousand, three hundred thirty-seven".