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123434020993 is a prime number
BaseRepresentation
bin111001011110100111…
…1011011000010000001
3102210121022212221201011
41302331033123002001
54010243102132433
6132412123240521
711626544603263
oct1627517330201
9383538787634
10123434020993
11483913179a8
121bb09979141
13b84179245a
145d8d44bb33
1533266cd3cd
hex1cbd3db081

123434020993 has 2 divisors, whose sum is σ = 123434020994. Its totient is φ = 123434020992.

The previous prime is 123434020981. The next prime is 123434021059. The reversal of 123434020993 is 399020434321.

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., 100164654144 + 23269366849 = 316488^2 + 152543^2 .

It is a cyclic number.

It is not a de Polignac number, because 123434020993 - 29 = 123434020481 is a prime.

It is not a weakly prime, because it can be changed into another prime (123434020933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61717010496 + 61717010497.

It is an arithmetic number, because the mean of its divisors is an integer number (61717010497).

Almost surely, 2123434020993 is an apocalyptic number.

It is an amenable number.

123434020993 is a deficient number, since it is larger than the sum of its proper divisors (1).

123434020993 is an equidigital number, since it uses as much as digits as its factorization.

123434020993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 123434020993 in words is "one hundred twenty-three billion, four hundred thirty-four million, twenty thousand, nine hundred ninety-three".