Search a number
-
+
2002011012012 = 2231123659423917
BaseRepresentation
bin11101001000100001001…
…001111011101110101100
321002101112120220211211110
4131020201021323232230
5230300104304341022
64131413335552020
7264432461552604
oct35104111735654
97071476824743
102002011012012
11702059029990
1228400552b610
13116a34095acb
146cc7d9b3c04
153712481800c
hex1d22127bbac

2002011012012 has 48 divisors (see below), whose sum is σ = 5317594474752. Its totient is φ = 580293046080.

The previous prime is 2002011011983. The next prime is 2002011012041. The reversal of 2002011012012 is 2102101102002.

It is an interprime number because it is at equal distance from previous prime (2002011011983) and next prime (2002011012041).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329708923 + ... + 329714994.

It is an arithmetic number, because the mean of its divisors is an integer number (110783218224).

Almost surely, 22002011012012 is an apocalyptic number.

2002011012012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2002011012012 is an abundant number, since it is smaller than the sum of its proper divisors (3315583462740).

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

2002011012012 is a wasteful number, since it uses less digits than its factorization.

2002011012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659423958 (or 659423956 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002011012012 its reverse (2102101102002), we get a palindrome (4104112114014).

The spelling of 2002011012012 in words is "two trillion, two billion, eleven million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 659423917 1318847834 1978271751 2637695668 3956543502 7253663087 7913087004 14507326174 15166750091 21760989261 29014652348 30333500182 43521978522 45500250273 60667000364 87043957044 91000500546 166834251001 182001001092 333668502002 500502753003 667337004004 1001005506006 2002011012012