Search a number
-
+
1002081308020 = 225133854158877
BaseRepresentation
bin11101001010100001011…
…00110100110101110100
310112210112202202211100021
432211100230310311310
5112404230303324040
62044203320054524
7132253336402312
oct16452054646564
93483482684307
101002081308020
11356a86857471
12142263004444
137365a540750
1436702a290b2
151b0ee33a24a
hexe950b34d74

1002081308020 has 24 divisors (see below), whose sum is σ = 2266245420264. Its totient is φ = 369999252096.

The previous prime is 1002081307999. The next prime is 1002081308071. The reversal of 1002081308020 is 208031802001.

1002081308020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21739733136 + 980341574884 = 147444^2 + 990122^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1927079179 + ... + 1927079698.

It is an arithmetic number, because the mean of its divisors is an integer number (94426892511).

Almost surely, 21002081308020 is an apocalyptic number.

1002081308020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002081308020 is an abundant number, since it is smaller than the sum of its proper divisors (1264164112244).

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

1002081308020 is a wasteful number, since it uses less digits than its factorization.

1002081308020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854158899 (or 3854158897 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The spelling of 1002081308020 in words is "one trillion, two billion, eighty-one million, three hundred eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 3854158877 7708317754 15416635508 19270794385 38541588770 50104065401 77083177540 100208130802 200416261604 250520327005 501040654010 1002081308020