Search a number
-
+
107736248301 = 31113723830181
BaseRepresentation
bin110010001010110010…
…1001010111111101101
3101022002022202110211120
41210111211022333231
53231120434421201
6121254321411153
710532543000163
oct1442545127755
9338068673746
10107736248301
1141766337a40
1218a68799ab9
13a20c506a66
1453006ad233
152c084d6536
hex191594afed

107736248301 has 16 divisors (see below), whose sum is σ = 157851125568. Its totient is φ = 64818089600.

The previous prime is 107736248299. The next prime is 107736248311. The reversal of 107736248301 is 103842637701.

It is not a de Polignac number, because 107736248301 - 21 = 107736248299 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107736248311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11910570 + ... + 11919611.

It is an arithmetic number, because the mean of its divisors is an integer number (9865695348).

Almost surely, 2107736248301 is an apocalyptic number.

107736248301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107736248301 is a deficient number, since it is larger than the sum of its proper divisors (50114877267).

107736248301 is a wasteful number, since it uses less digits than its factorization.

107736248301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23830332.

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 107736248301 in words is "one hundred seven billion, seven hundred thirty-six million, two hundred forty-eight thousand, three hundred one".

Divisors: 1 3 11 33 137 411 1507 4521 23830181 71490543 262131991 786395973 3264734797 9794204391 35912082767 107736248301