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122513213 is a prime number
BaseRepresentation
bin1110100110101…
…10011100111101
322112112022112102
413103112130331
5222330410323
620053514445
73015226244
oct723263475
9275468472
10122513213
1163178a99
1235042a25
131c4c6b34
14123b195b
15ab50328
hex74d673d

122513213 has 2 divisors, whose sum is σ = 122513214. Its totient is φ = 122513212.

The previous prime is 122513201. The next prime is 122513219. The reversal of 122513213 is 312315221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115820644 + 6692569 = 10762^2 + 2587^2 .

It is an emirp because it is prime and its reverse (312315221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122513213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122513219) 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, 61256606 + 61256607.

It is an arithmetic number, because the mean of its divisors is an integer number (61256607).

Almost surely, 2122513213 is an apocalyptic number.

It is an amenable number.

122513213 is a deficient number, since it is larger than the sum of its proper divisors (1).

122513213 is an equidigital number, since it uses as much as digits as its factorization.

122513213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 20.

The square root of 122513213 is about 11068.5686969906. The cubic root of 122513213 is about 496.6620497646.

Adding to 122513213 its reverse (312315221), we get a palindrome (434828434).

The spelling of 122513213 in words is "one hundred twenty-two million, five hundred thirteen thousand, two hundred thirteen".