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101006891969 is a prime number
BaseRepresentation
bin101111000010001111…
…0101101101111000001
3100122201100021202100212
41132010132231233001
53123330231020334
6114222452123505
710204021262414
oct1360436555701
9318640252325
10101006891969
1139922836a25
12176ab006595
1396a92c08c9
144c62a83b7b
15296282cece
hex17847adbc1

101006891969 has 2 divisors, whose sum is σ = 101006891970. Its totient is φ = 101006891968.

The previous prime is 101006891927. The next prime is 101006891983. The reversal of 101006891969 is 969198600101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95040874369 + 5966017600 = 308287^2 + 77240^2 .

It is a cyclic number.

It is not a de Polignac number, because 101006891969 - 212 = 101006887873 is a prime.

It is a super-2 number, since 2×1010068919692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101006891269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50503445984 + 50503445985.

It is an arithmetic number, because the mean of its divisors is an integer number (50503445985).

Almost surely, 2101006891969 is an apocalyptic number.

It is an amenable number.

101006891969 is a deficient number, since it is larger than the sum of its proper divisors (1).

101006891969 is an equidigital number, since it uses as much as digits as its factorization.

101006891969 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 209952, while the sum is 50.

The spelling of 101006891969 in words is "one hundred one billion, six million, eight hundred ninety-one thousand, nine hundred sixty-nine".