Search a number
-
+
1107107797068 = 2233713479724709
BaseRepresentation
bin10000000111000100110…
…001000101100001001100
310220211122020122021022000
4100013010301011201030
5121114324044001233
62204333122152300
7142662110001660
oct20070461054114
93824566567260
101107107797068
11397581542149
1215a6941b2690
1380527524960
143b8274848a0
151dbe99aed13
hex101c4c4584c

1107107797068 has 384 divisors, whose sum is σ = 3645155942400. Its totient is φ = 282814488576.

The previous prime is 1107107797063. The next prime is 1107107797073. The reversal of 1107107797068 is 8607977017011.

It is an interprime number because it is at equal distance from previous prime (1107107797063) and next prime (1107107797073).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1107107797063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44793498 + ... + 44818206.

It is an arithmetic number, because the mean of its divisors is an integer number (9492593600).

Almost surely, 21107107797068 is an apocalyptic number.

1107107797068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107107797068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822577971200).

1107107797068 is an abundant number, since it is smaller than the sum of its proper divisors (2538048145332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1107107797068 is a wasteful number, since it uses less digits than its factorization.

1107107797068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24886 (or 24878 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 54.

The spelling of 1107107797068 in words is "one trillion, one hundred seven billion, one hundred seven million, seven hundred ninety-seven thousand, sixty-eight".