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121333112081 is a prime number
BaseRepresentation
bin111000100000000000…
…1000101110100010001
3102121011220122201110222
41301000001011310101
53441442234041311
6131423433402425
711523514302356
oct1610001056421
9377156581428
10121333112081
1147503418a45
121b622269415
13b59844699c
145c3040662d
153252036adb
hex1c40045d11

121333112081 has 2 divisors, whose sum is σ = 121333112082. Its totient is φ = 121333112080.

The previous prime is 121333112059. The next prime is 121333112101. The reversal of 121333112081 is 180211333121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86504221456 + 34828890625 = 294116^2 + 186625^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121333112081 is a prime.

It is a super-2 number, since 2×1213331120812 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121333112081.

It is not a weakly prime, because it can be changed into another prime (121333112881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60666556040 + 60666556041.

It is an arithmetic number, because the mean of its divisors is an integer number (60666556041).

Almost surely, 2121333112081 is an apocalyptic number.

It is an amenable number.

121333112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

121333112081 is an equidigital number, since it uses as much as digits as its factorization.

121333112081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 121333112081 in words is "one hundred twenty-one billion, three hundred thirty-three million, one hundred twelve thousand, eighty-one".