Search a number
-
+
1107110687020 = 225131737109173359
BaseRepresentation
bin10000000111000100111…
…100000111000100101100
310220211122110002002120021
4100013010330013010230
5121114330313441040
62204333304131524
7142662143366332
oct20070474070454
93824573062507
101107110687020
11397583136438
1215a695166ba4
1380527cc71a0
143b8279d7b52
151dbe9d8124a
hex101c4f0712c

1107110687020 has 384 divisors, whose sum is σ = 2771263756800. Its totient is φ = 367729901568.

The previous prime is 1107110686987. The next prime is 1107110687021. The reversal of 1107110687020 is 207860117011.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1107110687021) 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, 3083873601 + ... + 3083873959.

It is an arithmetic number, because the mean of its divisors is an integer number (7216832700).

Almost surely, 21107110687020 is an apocalyptic number.

1107110687020 is a gapful number since it is divisible by the number (10) 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 1107110687020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385631878400).

1107110687020 is an abundant number, since it is smaller than the sum of its proper divisors (1664153069780).

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

1107110687020 is a wasteful number, since it uses less digits than its factorization.

1107110687020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 34.

The spelling of 1107110687020 in words is "one trillion, one hundred seven billion, one hundred ten million, six hundred eighty-seven thousand, twenty".