Search a number
-
+
2002112020200 = 2335213597245411
BaseRepresentation
bin11101001000100111001…
…011001111111011101000
321002101210121222121000110
4131020213023033323220
5230300311134121300
64131431344534320
7264435126244245
oct35104713177350
97071717877013
102002112020200
11702100049926
122840333213a0
13116a4bca0476
146cc8d1885cc
153712d61b550
hex1d2272cfee8

2002112020200 has 96 divisors (see below), whose sum is σ = 6207029019360. Its totient is φ = 533855097600.

The previous prime is 2002112020193. The next prime is 2002112020201. The reversal of 2002112020200 is 20202112002.

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

It is not an unprimeable number, because it can be changed into a prime (2002112020201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8035495 + ... + 8280905.

It is an arithmetic number, because the mean of its divisors is an integer number (64656552285).

Almost surely, 22002112020200 is an apocalyptic number.

2002112020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002112020200 is an abundant number, since it is smaller than the sum of its proper divisors (4204916999160).

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

2002112020200 is a wasteful number, since it uses less digits than its factorization.

2002112020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259027 (or 259018 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002112020200 its reverse (20202112002), we get a palindrome (2022314132202).

The spelling of 2002112020200 in words is "two trillion, two billion, one hundred twelve million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 13597 27194 40791 54388 67985 81582 108776 135970 163164 203955 245411 271940 326328 339925 407910 490822 543880 679850 736233 815820 981644 1019775 1227055 1359700 1472466 1631640 1963288 2039550 2454110 2719400 2944932 3681165 4079100 4908220 5889864 6135275 7362330 8158200 9816440 12270550 14724660 18405825 24541100 29449320 36811650 49082200 73623300 147246600 3336853367 6673706734 10010560101 13347413468 16684266835 20021120202 26694826936 33368533670 40042240404 50052800505 66737067340 80084480808 83421334175 100105601010 133474134680 166842668350 200211202020 250264002525 333685336700 400422404040 500528005050 667370673400 1001056010100 2002112020200