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122013113 is a prime number
BaseRepresentation
bin1110100010111…
…00010110111001
322111120220112012
413101130112321
5222213404423
620035055305
73011044235
oct721342671
9274526465
10122013113
1162967292
1234a41535
131c380311
14122c15c5
15aaa2078
hex745c5b9

122013113 has 2 divisors, whose sum is σ = 122013114. Its totient is φ = 122013112.

The previous prime is 122013109. The next prime is 122013119. The reversal of 122013113 is 311310221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96983104 + 25030009 = 9848^2 + 5003^2 .

It is a cyclic number.

It is not a de Polignac number, because 122013113 - 22 = 122013109 is a prime.

It is a super-3 number, since 3×1220131133 (a number of 25 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122013119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61006556 + 61006557.

It is an arithmetic number, because the mean of its divisors is an integer number (61006557).

Almost surely, 2122013113 is an apocalyptic number.

It is an amenable number.

122013113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122013113 is an equidigital number, since it uses as much as digits as its factorization.

122013113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 122013113 is about 11045.9545988565. The cubic root of 122013113 is about 495.9853352085.

Adding to 122013113 its reverse (311310221), we get a palindrome (433323334).

The spelling of 122013113 in words is "one hundred twenty-two million, thirteen thousand, one hundred thirteen".