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123131122189 is a prime number
BaseRepresentation
bin111001010101100101…
…1111101001000001101
3102202211012221002122221
41302223023331020031
54004133031402224
6132322103135341
711616206161345
oct1625313751015
9382735832587
10123131122189
1148246343609
121ba44444551
13b7c3abb0aa
145d61121d25
153309cea6e4
hex1cab2fd20d

123131122189 has 2 divisors, whose sum is σ = 123131122190. Its totient is φ = 123131122188.

The previous prime is 123131122171. The next prime is 123131122193. The reversal of 123131122189 is 981221131321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121701904164 + 1429218025 = 348858^2 + 37805^2 .

It is a cyclic number.

It is not a de Polignac number, because 123131122189 - 225 = 123097567757 is a prime.

It is a super-2 number, since 2×1231311221892 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123131122159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61565561094 + 61565561095.

It is an arithmetic number, because the mean of its divisors is an integer number (61565561095).

Almost surely, 2123131122189 is an apocalyptic number.

It is an amenable number.

123131122189 is a deficient number, since it is larger than the sum of its proper divisors (1).

123131122189 is an equidigital number, since it uses as much as digits as its factorization.

123131122189 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5184, while the sum is 34.

The spelling of 123131122189 in words is "one hundred twenty-three billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred eighty-nine".