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121701924829 is a prime number
BaseRepresentation
bin111000101010111111…
…1111111111111011101
3102122010121122100110101
41301111333333333131
53443221143043304
6131524210341101
711535613202242
oct1612577777735
9378117570411
10121701924829
1147682622471
121b70588a791
13b626988a94
145c673ad5c9
1532745d98a4
hex1c55ffffdd

121701924829 has 2 divisors, whose sum is σ = 121701924830. Its totient is φ = 121701924828.

The previous prime is 121701924809. The next prime is 121701924901. The reversal of 121701924829 is 928429107121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100031140729 + 21670784100 = 316277^2 + 147210^2 .

It is a cyclic number.

It is not a de Polignac number, because 121701924829 - 229 = 121165053917 is a prime.

It is a super-3 number, since 3×1217019248293 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121701924809) 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, 60850962414 + 60850962415.

It is an arithmetic number, because the mean of its divisors is an integer number (60850962415).

Almost surely, 2121701924829 is an apocalyptic number.

It is an amenable number.

121701924829 is a deficient number, since it is larger than the sum of its proper divisors (1).

121701924829 is an equidigital number, since it uses as much as digits as its factorization.

121701924829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 121701924829 in words is "one hundred twenty-one billion, seven hundred one million, nine hundred twenty-four thousand, eight hundred twenty-nine".