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121983137 is a prime number
BaseRepresentation
bin1110100010101…
…01000010100001
322111112101101222
413101111002201
5222211430022
620034304425
73010560653
oct721250241
9274471358
10121983137
1162946811
1234a28115
131c36c793
14122b46d3
15aa98242
hex74550a1

121983137 has 2 divisors, whose sum is σ = 121983138. Its totient is φ = 121983136.

The previous prime is 121983107. The next prime is 121983163. The reversal of 121983137 is 731389121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71842576 + 50140561 = 8476^2 + 7081^2 .

It is a cyclic number.

It is not a de Polignac number, because 121983137 - 222 = 117788833 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 121983097 and 121983106.

It is not a weakly prime, because it can be changed into another prime (121983107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60991568 + 60991569.

It is an arithmetic number, because the mean of its divisors is an integer number (60991569).

Almost surely, 2121983137 is an apocalyptic number.

It is an amenable number.

121983137 is a deficient number, since it is larger than the sum of its proper divisors (1).

121983137 is an equidigital number, since it uses as much as digits as its factorization.

121983137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 35.

The square root of 121983137 is about 11044.5976386648. The cubic root of 121983137 is about 495.9447142355.

The spelling of 121983137 in words is "one hundred twenty-one million, nine hundred eighty-three thousand, one hundred thirty-seven".