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34101121357 is a prime number
BaseRepresentation
bin11111110000100101…
…011101000101001101
310021000120021110020201
4133300211131011031
51024314341340412
623355453213501
72315025514612
oct376045350515
9107016243221
1034101121357
111350a215226
126738491291
1332a5c30824
141916da2509
15d48bc5e57
hex7f095d14d

34101121357 has 2 divisors, whose sum is σ = 34101121358. Its totient is φ = 34101121356.

The previous prime is 34101121343. The next prime is 34101121361. The reversal of 34101121357 is 75312110143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21220914276 + 12880207081 = 145674^2 + 113491^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34101121357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34101121057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17050560678 + 17050560679.

It is an arithmetic number, because the mean of its divisors is an integer number (17050560679).

Almost surely, 234101121357 is an apocalyptic number.

It is an amenable number.

34101121357 is a deficient number, since it is larger than the sum of its proper divisors (1).

34101121357 is an equidigital number, since it uses as much as digits as its factorization.

34101121357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 34101121357 in words is "thirty-four billion, one hundred one million, one hundred twenty-one thousand, three hundred fifty-seven".