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123130203332233 is a prime number
BaseRepresentation
bin11011111111110001111100…
…000001111101111010001001
3121010222010120120120220101211
4123333301330001331322021
5112114331124023112413
61113513122353413121
734635602136412036
oct3377617401757211
9533863516526354
10123130203332233
1136262253868589
121198755bb6a1a1
135392188cb4316
14225976844038d
15e37d749c483d
hex6ffc7c07de89

123130203332233 has 2 divisors, whose sum is σ = 123130203332234. Its totient is φ = 123130203332232.

The previous prime is 123130203332203. The next prime is 123130203332249. The reversal of 123130203332233 is 332233302031321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122554929625209 + 575273707024 = 11070453^2 + 758468^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123130203332233 is a prime.

It is a super-2 number, since 2×1231302033322332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123130203332195 and 123130203332204.

It is not a weakly prime, because it can be changed into another prime (123130203332203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61565101666116 + 61565101666117.

It is an arithmetic number, because the mean of its divisors is an integer number (61565101666117).

Almost surely, 2123130203332233 is an apocalyptic number.

It is an amenable number.

123130203332233 is a deficient number, since it is larger than the sum of its proper divisors (1).

123130203332233 is an equidigital number, since it uses as much as digits as its factorization.

123130203332233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 31.

Adding to 123130203332233 its reverse (332233302031321), we get a palindrome (455363505363554).

The spelling of 123130203332233 in words is "one hundred twenty-three trillion, one hundred thirty billion, two hundred three million, three hundred thirty-two thousand, two hundred thirty-three".