Search a number
-
+
1100561051868 = 223172310319111923
BaseRepresentation
bin10000000000111110100…
…011001111000011011100
310220012201222210011012120
4100000332203033003130
5121012422112124433
62201331334502540
7142340633406165
oct20007643170334
93805658704176
101100561051868
11394822027623
12159367804a50
137ca230b8025
143b3a5bd276c
151d964d787b3
hex1003e8cf0dc

1100561051868 has 192 divisors, whose sum is σ = 2880038633472. Its totient is φ = 325316090880.

The previous prime is 1100561051861. The next prime is 1100561051873. The reversal of 1100561051868 is 8681501650011.

It is a super-2 number, since 2×11005610518682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100561051861) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92299755 + ... + 92311677.

It is an arithmetic number, because the mean of its divisors is an integer number (15000201216).

Almost surely, 21100561051868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100561051868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440019316736).

1100561051868 is an abundant number, since it is smaller than the sum of its proper divisors (1779477581604).

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

1100561051868 is a wasteful number, since it uses less digits than its factorization.

1100561051868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12264 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 42.

The spelling of 1100561051868 in words is "one trillion, one hundred billion, five hundred sixty-one million, fifty-one thousand, eight hundred sixty-eight".