Search a number
-
+
2000113113102 = 2313311063778153
BaseRepresentation
bin11101000110110000000…
…010000001100000001110
321002012122022200120222020
4131012300002001200032
5230232212424104402
64130501141231010
7264334444643616
oct35066002014016
97065568616866
102000113113102
11701274789395
12283775a02466
131167c0b196c0
146cb3d8d5a46
1537062dc28bc
hex1d1b008180e

2000113113102 has 64 divisors (see below), whose sum is σ = 4451090681856. Its totient is φ = 595006145280.

The previous prime is 2000113113079. The next prime is 2000113113113. The reversal of 2000113113102 is 2013113110002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2181258 + ... + 2959410.

It is an arithmetic number, because the mean of its divisors is an integer number (69548291904).

Almost surely, 22000113113102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000113113102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225545340928).

2000113113102 is an abundant number, since it is smaller than the sum of its proper divisors (2450977568754).

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

2000113113102 is a wasteful number, since it uses less digits than its factorization.

2000113113102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779265.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2000113113102 its reverse (2013113110002), we get a palindrome (4013226223104).

The spelling of 2000113113102 in words is "two trillion, one hundred thirteen million, one hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1063 1209 2126 2418 3189 6378 13819 27638 32953 41457 65906 82914 98859 197718 428389 778153 856778 1285167 1556306 2334459 2570334 4668918 10115989 20231978 24122743 30347967 48245486 60695934 72368229 144736458 313595659 627191318 827176639 940786977 1654353278 1881573954 2481529917 4963059834 10753296307 21506592614 25642475809 32259888921 51284951618 64519777842 76927427427 153854854854 333352185517 666704371034 1000056556551 2000113113102