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120254356129 is a prime number
BaseRepresentation
bin110111111111110110…
…1111101101010100001
3102111101201210020111211
41233333231331222201
53432240103344004
6131124420110121
711455005106315
oct1577755755241
9374351706454
10120254356129
1146aaa4a36a6
121b380b35341
13b455ac375b
145b6b037b45
1531dc49a504
hex1bffb7daa1

120254356129 has 2 divisors, whose sum is σ = 120254356130. Its totient is φ = 120254356128.

The previous prime is 120254356127. The next prime is 120254356133. The reversal of 120254356129 is 921653452021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103264537104 + 16989819025 = 321348^2 + 130345^2 .

It is a cyclic number.

It is not a de Polignac number, because 120254356129 - 21 = 120254356127 is a prime.

It is a super-2 number, since 2×1202543561292 (a number of 23 digits) contains 22 as substring.

Together with 120254356127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 120254356091 and 120254356100.

It is not a weakly prime, because it can be changed into another prime (120254356127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60127178064 + 60127178065.

It is an arithmetic number, because the mean of its divisors is an integer number (60127178065).

Almost surely, 2120254356129 is an apocalyptic number.

It is an amenable number.

120254356129 is a deficient number, since it is larger than the sum of its proper divisors (1).

120254356129 is an equidigital number, since it uses as much as digits as its factorization.

120254356129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 120254356129 in words is "one hundred twenty billion, two hundred fifty-four million, three hundred fifty-six thousand, one hundred twenty-nine".