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34236120053 is a prime number
BaseRepresentation
bin11111111000101000…
…011011101111110101
310021100222022002122102
4133320220123233311
51030103421320203
623421114511445
72321255135042
oct377050335765
9107328262572
1034236120053
11135794407a3
126775735585
1332c7ba9605
14192aca41c9
15d55990888
hex7f8a1bbf5

34236120053 has 2 divisors, whose sum is σ = 34236120054. Its totient is φ = 34236120052.

The previous prime is 34236120049. The next prime is 34236120133. The reversal of 34236120053 is 35002163243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33395004049 + 841116004 = 182743^2 + 29002^2 .

It is a cyclic number.

It is not a de Polignac number, because 34236120053 - 22 = 34236120049 is a prime.

It is a super-2 number, since 2×342361200532 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34236119998 and 34236120025.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34236120353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17118060026 + 17118060027.

It is an arithmetic number, because the mean of its divisors is an integer number (17118060027).

Almost surely, 234236120053 is an apocalyptic number.

It is an amenable number.

34236120053 is a deficient number, since it is larger than the sum of its proper divisors (1).

34236120053 is an equidigital number, since it uses as much as digits as its factorization.

34236120053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 34236120053 its reverse (35002163243), we get a palindrome (69238283296).

The spelling of 34236120053 in words is "thirty-four billion, two hundred thirty-six million, one hundred twenty thousand, fifty-three".