Search a number
-
+
107643310387201 = 894483749935977
BaseRepresentation
bin11000011110011010101001…
…010001110011000000000001
3112010010121012101021012012001
4120132122221101303000001
5103102111444424342301
61020534353142304001
731446654402365101
oct3036325121630001
9463117171235161
10107643310387201
11313312a9504a46
12100a5bb2a28001
13480a94a25c504
141c81d6d3bb201
15c6a0b2278c01
hex61e6a9473001

107643310387201 has 16 divisors (see below), whose sum is σ = 108894612600000. Its totient is φ = 106392946099968.

The previous prime is 107643310387189. The next prime is 107643310387211. The reversal of 107643310387201 is 102783013346701.

It is a cyclic number.

It is not a de Polignac number, because 107643310387201 - 27 = 107643310387073 is a prime.

It is a super-2 number, since 2×1076433103872012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107643310387211) 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 in 15 ways as a sum of consecutive naturals, for example, 2991985525 + ... + 2992021501.

It is an arithmetic number, because the mean of its divisors is an integer number (6805913287500).

Almost surely, 2107643310387201 is an apocalyptic number.

It is an amenable number.

107643310387201 is a deficient number, since it is larger than the sum of its proper divisors (1251302212799).

107643310387201 is an equidigital number, since it uses as much as digits as its factorization.

107643310387201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48048.

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 107643310387201 in words is "one hundred seven trillion, six hundred forty-three billion, three hundred ten million, three hundred eighty-seven thousand, two hundred one".

Divisors: 1 89 4483 7499 35977 398987 667411 3201953 33618017 161284891 269791523 2992003513 14354355299 24011445547 1209475397609 107643310387201