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107845686601153 is a prime number
BaseRepresentation
bin11000100001010111000111…
…110101110010010111000001
3112010211221120022211001102121
4120201113013311302113001
5103113420431232214103
61021211342515044241
731500410436000424
oct3041270765622701
9463757508731377
10107845686601153
11313aa10a611926
12101192722a0681
134823a5c959837
141c8ba8acc99bb
15c704a91266bd
hex6215c7d725c1

107845686601153 has 2 divisors, whose sum is σ = 107845686601154. Its totient is φ = 107845686601152.

The previous prime is 107845686601151. The next prime is 107845686601157. The reversal of 107845686601153 is 351106686548701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96701419681344 + 11144266919809 = 9833688^2 + 3338303^2 .

It is a cyclic number.

It is not a de Polignac number, because 107845686601153 - 21 = 107845686601151 is a prime.

It is a super-2 number, since 2×1078456866011532 (a number of 29 digits) contains 22 as substring.

Together with 107845686601151, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 107845686601091 and 107845686601100.

It is not a weakly prime, because it can be changed into another prime (107845686601151) 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, 53922843300576 + 53922843300577.

It is an arithmetic number, because the mean of its divisors is an integer number (53922843300577).

Almost surely, 2107845686601153 is an apocalyptic number.

It is an amenable number.

107845686601153 is a deficient number, since it is larger than the sum of its proper divisors (1).

107845686601153 is an equidigital number, since it uses as much as digits as its factorization.

107845686601153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 107845686601153 in words is "one hundred seven trillion, eight hundred forty-five billion, six hundred eighty-six million, six hundred one thousand, one hundred fifty-three".