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114521106929 is a prime number
BaseRepresentation
bin110101010100111111…
…1010110100111110001
3101221121011200000010212
41222221333112213301
53334014400410204
6124335452433505
711162640230135
oct1525177264761
9357534600125
10114521106929
11446281a7719
121a240a78895
13aa510838c8
1457858253c5
152ea3ea4c6e
hex1aa9fd69f1

114521106929 has 2 divisors, whose sum is σ = 114521106930. Its totient is φ = 114521106928.

The previous prime is 114521106881. The next prime is 114521107049. The reversal of 114521106929 is 929601125411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101791626304 + 12729480625 = 319048^2 + 112825^2 .

It is a cyclic number.

It is not a de Polignac number, because 114521106929 - 212 = 114521102833 is a prime.

It is a super-2 number, since 2×1145211069292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114521106629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57260553464 + 57260553465.

It is an arithmetic number, because the mean of its divisors is an integer number (57260553465).

Almost surely, 2114521106929 is an apocalyptic number.

It is an amenable number.

114521106929 is a deficient number, since it is larger than the sum of its proper divisors (1).

114521106929 is an equidigital number, since it uses as much as digits as its factorization.

114521106929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 114521106929 in words is "one hundred fourteen billion, five hundred twenty-one million, one hundred six thousand, nine hundred twenty-nine".