Search a number
-
+
105360113445301 = 1113736784010107
BaseRepresentation
bin10111111101001100010000…
…001000101010100110110101
3111211001022212110102002220001
4113331030100020222212311
5102302210003020222201
61012025433512111301
731123005554526061
oct2775142010524665
9454038773362801
10105360113445301
1130630a78342140
12b9975b4995531
1346a3554136590
141c03657280aa1
15c2a9d1d61301
hex5fd31022a9b5

105360113445301 has 8 divisors (see below), whose sum is σ = 123779713698144. Its totient is φ = 88414081212720.

The previous prime is 105360113445199. The next prime is 105360113445311. The reversal of 105360113445301 is 103544311063501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105360113445301 - 213 = 105360113437109 is a prime.

It is a super-2 number, since 2×1053601134453012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105360113445311) 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 in 7 ways as a sum of consecutive naturals, for example, 368392004911 + ... + 368392005196.

It is an arithmetic number, because the mean of its divisors is an integer number (15472464212268).

Almost surely, 2105360113445301 is an apocalyptic number.

105360113445301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105360113445301 is a deficient number, since it is larger than the sum of its proper divisors (18419600252843).

105360113445301 is a wasteful number, since it uses less digits than its factorization.

105360113445301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736784010131.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 105360113445301 in words is "one hundred five trillion, three hundred sixty billion, one hundred thirteen million, four hundred forty-five thousand, three hundred one".

Divisors: 1 11 13 143 736784010107 8104624111177 9578192131391 105360113445301