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113002032329 is a prime number
BaseRepresentation
bin110100100111101110…
…0100010110011001001
3101210200022021000112122
41221033130202303021
53322412010013304
6123525025421025
711110203266204
oct1511734426311
9353608230478
10113002032329
1143a1877946a
1219a9819a775
13a86b4434b4
14567db9893b
152e1593d9be
hex1a4f722cc9

113002032329 has 2 divisors, whose sum is σ = 113002032330. Its totient is φ = 113002032328.

The previous prime is 113002032323. The next prime is 113002032349. The reversal of 113002032329 is 923230200311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89729004304 + 23273028025 = 299548^2 + 152555^2 .

It is a cyclic number.

It is not a de Polignac number, because 113002032329 - 212 = 113002028233 is a prime.

It is a super-2 number, since 2×1130020323292 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113002032298 and 113002032307.

It is not a weakly prime, because it can be changed into another prime (113002032323) 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, 56501016164 + 56501016165.

It is an arithmetic number, because the mean of its divisors is an integer number (56501016165).

Almost surely, 2113002032329 is an apocalyptic number.

It is an amenable number.

113002032329 is a deficient number, since it is larger than the sum of its proper divisors (1).

113002032329 is an equidigital number, since it uses as much as digits as its factorization.

113002032329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 113002032329 in words is "one hundred thirteen billion, two million, thirty-two thousand, three hundred twenty-nine".