Search a number
-
+
122279357 is a prime number
BaseRepresentation
bin1110100100111…
…01010110111101
322112002102202002
413102131112331
5222300414412
620044512045
73013233404
oct722352675
9275072662
10122279357
1163029322
1234b4b625
131c444565
141235063b
15ab05dc2
hex749d5bd

122279357 has 2 divisors, whose sum is σ = 122279358. Its totient is φ = 122279356.

The previous prime is 122279327. The next prime is 122279411. The reversal of 122279357 is 753972221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103103716 + 19175641 = 10154^2 + 4379^2 .

It is an emirp because it is prime and its reverse (753972221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122279357 - 222 = 118085053 is a prime.

It is a super-2 number, since 2×1222793572 = 29904482296666898, which contains 22 as substring.

It is a Chen prime.

It is equal to p6964067 and since 122279357 and 6964067 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122279357.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122279327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61139678 + 61139679.

It is an arithmetic number, because the mean of its divisors is an integer number (61139679).

Almost surely, 2122279357 is an apocalyptic number.

It is an amenable number.

122279357 is a deficient number, since it is larger than the sum of its proper divisors (1).

122279357 is an equidigital number, since it uses as much as digits as its factorization.

122279357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 38.

The square root of 122279357 is about 11057.9996834871. Note that the first 3 decimals coincide. The cubic root of 122279357 is about 496.3458352179.

The spelling of 122279357 in words is "one hundred twenty-two million, two hundred seventy-nine thousand, three hundred fifty-seven".