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121983537133 is a prime number
BaseRepresentation
bin111000110011011001…
…0010000111111101101
3102122212020112201220201
41301212302100333231
53444310241142013
6132012150313501
711545602646333
oct1614662207755
9378766481821
10121983537133
1147807587a07
121b784058891
13b670119293
145c92957b53
15328e1b53dd
hex1c66c90fed

121983537133 has 2 divisors, whose sum is σ = 121983537134. Its totient is φ = 121983537132.

The previous prime is 121983537131. The next prime is 121983537167. The reversal of 121983537133 is 331735389121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112898016009 + 9085521124 = 336003^2 + 95318^2 .

It is a cyclic number.

It is not a de Polignac number, because 121983537133 - 21 = 121983537131 is a prime.

Together with 121983537131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121983537131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60991768566 + 60991768567.

It is an arithmetic number, because the mean of its divisors is an integer number (60991768567).

Almost surely, 2121983537133 is an apocalyptic number.

It is an amenable number.

121983537133 is a deficient number, since it is larger than the sum of its proper divisors (1).

121983537133 is an equidigital number, since it uses as much as digits as its factorization.

121983537133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 408240, while the sum is 46.

The spelling of 121983537133 in words is "one hundred twenty-one billion, nine hundred eighty-three million, five hundred thirty-seven thousand, one hundred thirty-three".