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122013223133 is a prime number
BaseRepresentation
bin111000110100010001…
…1100000100011011101
3102122221022101221110012
41301220203200203131
53444340341120013
6132015130453005
711546413166414
oct1615043404335
9378838357405
10122013223133
114782231349a
121b791b94165
13b676311369
145c9688447b
153291acb1a8
hex1c688e08dd

122013223133 has 2 divisors, whose sum is σ = 122013223134. Its totient is φ = 122013223132.

The previous prime is 122013223117. The next prime is 122013223147. The reversal of 122013223133 is 331322310221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82919233849 + 39093989284 = 287957^2 + 197722^2 .

It is a cyclic number.

It is not a de Polignac number, because 122013223133 - 24 = 122013223117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122013223099 and 122013223108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122013223183) 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, 61006611566 + 61006611567.

It is an arithmetic number, because the mean of its divisors is an integer number (61006611567).

Almost surely, 2122013223133 is an apocalyptic number.

It is an amenable number.

122013223133 is a deficient number, since it is larger than the sum of its proper divisors (1).

122013223133 is an equidigital number, since it uses as much as digits as its factorization.

122013223133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122013223133 its reverse (331322310221), we get a palindrome (453335533354).

The spelling of 122013223133 in words is "one hundred twenty-two billion, thirteen million, two hundred twenty-three thousand, one hundred thirty-three".