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129431574761 is a prime number
BaseRepresentation
bin111100010001010111…
…0010001100011101001
3110101002022100020210012
41320202232101203221
54110033440343021
6135243211501305
712231302142626
oct1704256214351
9411068306705
10129431574761
114a989827905
1221102457835
13c2891b2938
14639bbc134d
153577ed135b
hex1e22b918e9

129431574761 has 2 divisors, whose sum is σ = 129431574762. Its totient is φ = 129431574760.

The previous prime is 129431574709. The next prime is 129431574781. The reversal of 129431574761 is 167475134921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105361914025 + 24069660736 = 324595^2 + 155144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-129431574761 is a prime.

It is a super-2 number, since 2×1294315747612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (129431574781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64715787380 + 64715787381.

It is an arithmetic number, because the mean of its divisors is an integer number (64715787381).

Almost surely, 2129431574761 is an apocalyptic number.

It is an amenable number.

129431574761 is a deficient number, since it is larger than the sum of its proper divisors (1).

129431574761 is an equidigital number, since it uses as much as digits as its factorization.

129431574761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1270080, while the sum is 50.

The spelling of 129431574761 in words is "one hundred twenty-nine billion, four hundred thirty-one million, five hundred seventy-four thousand, seven hundred sixty-one".