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1292936129 is a prime number
BaseRepresentation
bin100110100010000…
…1010001111000001
310100002212221221022
41031010022033001
510121442424004
6332144035225
744016530042
oct11504121701
93302787838
101292936129
11603913061
12301002b15
13177b33984
14c3a028c9
15787972be
hex4d10a3c1

1292936129 has 2 divisors, whose sum is σ = 1292936130. Its totient is φ = 1292936128.

The previous prime is 1292936123. The next prime is 1292936131. The reversal of 1292936129 is 9216392921.

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., 796537729 + 496398400 = 28223^2 + 22280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1292936129 is a prime.

It is a Sophie Germain prime.

Together with 1292936131, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1292936129.

It is not a weakly prime, because it can be changed into another prime (1292936123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 646468064 + 646468065.

It is an arithmetic number, because the mean of its divisors is an integer number (646468065).

Almost surely, 21292936129 is an apocalyptic number.

It is an amenable number.

1292936129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1292936129 is an equidigital number, since it uses as much as digits as its factorization.

1292936129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 104976, while the sum is 44.

The square root of 1292936129 is about 35957.4210560212. The cubic root of 1292936129 is about 1089.4125075248.

The spelling of 1292936129 in words is "one billion, two hundred ninety-two million, nine hundred thirty-six thousand, one hundred twenty-nine".