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123100011301 is a prime number
BaseRepresentation
bin111001010100101010…
…1010001101100100101
3102202202001101111112211
41302221111101230211
54004102100330201
6132315032243421
711615350555141
oct1625125215445
9382661344484
10123100011301
114822a824533
121ba35b40571
13b7ba517597
145d5ad44221
153307202651
hex1ca9551b25

123100011301 has 2 divisors, whose sum is σ = 123100011302. Its totient is φ = 123100011300.

The previous prime is 123100011299. The next prime is 123100011371. The reversal of 123100011301 is 103110001321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116298050625 + 6801960676 = 341025^2 + 82474^2 .

It is a cyclic number.

It is not a de Polignac number, because 123100011301 - 21 = 123100011299 is a prime.

It is a super-2 number, since 2×1231000113012 (a number of 23 digits) contains 22 as substring.

Together with 123100011299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123100011371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61550005650 + 61550005651.

It is an arithmetic number, because the mean of its divisors is an integer number (61550005651).

Almost surely, 2123100011301 is an apocalyptic number.

It is an amenable number.

123100011301 is a deficient number, since it is larger than the sum of its proper divisors (1).

123100011301 is an equidigital number, since it uses as much as digits as its factorization.

123100011301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 123100011301 its reverse (103110001321), we get a palindrome (226210012622).

The spelling of 123100011301 in words is "one hundred twenty-three billion, one hundred million, eleven thousand, three hundred one".