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101113032049 is a prime number
BaseRepresentation
bin101111000101011001…
…1100110110101110001
3100122222202000020011221
41132022303212311301
53124034414011144
6114241203105041
710206450406621
oct1361263466561
9318882006157
10101113032049
11399777415a7
121771a672181
1396c52a40a3
144c72bd2881
15296bce6d84
hex178ace6d71

101113032049 has 2 divisors, whose sum is σ = 101113032050. Its totient is φ = 101113032048.

The previous prime is 101113032019. The next prime is 101113032067. The reversal of 101113032049 is 940230311101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80922043024 + 20190989025 = 284468^2 + 142095^2 .

It is a cyclic number.

It is not a de Polignac number, because 101113032049 - 25 = 101113032017 is a prime.

It is a super-2 number, since 2×1011130320492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101113032019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556516024 + 50556516025.

It is an arithmetic number, because the mean of its divisors is an integer number (50556516025).

Almost surely, 2101113032049 is an apocalyptic number.

It is an amenable number.

101113032049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113032049 is an equidigital number, since it uses as much as digits as its factorization.

101113032049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 101113032049 in words is "one hundred one billion, one hundred thirteen million, thirty-two thousand, forty-nine".