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34351892101 is a prime number
BaseRepresentation
bin11111111111100010…
…000100011010000101
310021200001010221001001
4133333202010122011
51030323041021401
623440412133301
72324162156632
oct377742043205
9107601127031
1034351892101
1113628824a7a
1267a8467231
133315b82c97
14193c3dd189
15d60c0d601
hex7ff884685

34351892101 has 2 divisors, whose sum is σ = 34351892102. Its totient is φ = 34351892100.

The previous prime is 34351892063. The next prime is 34351892111. The reversal of 34351892101 is 10129815343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29041272225 + 5310619876 = 170415^2 + 72874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34351892101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34351892111) 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, 17175946050 + 17175946051.

It is an arithmetic number, because the mean of its divisors is an integer number (17175946051).

Almost surely, 234351892101 is an apocalyptic number.

It is an amenable number.

34351892101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34351892101 is an equidigital number, since it uses as much as digits as its factorization.

34351892101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 34351892101 in words is "thirty-four billion, three hundred fifty-one million, eight hundred ninety-two thousand, one hundred one".