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2002243002100 = 2252112543715777
BaseRepresentation
bin11101001000101110111…
…110111001111011110100
321002102010202110011101221
4131020232332321323310
5230301043202031400
64131452344200124
7264441306464545
oct35105676717364
97072122404357
102002243002100
11702167a81530
1228406b169044
13116a70170b53
146cca27224cc
1537139d90c1a
hex1d22efb9ef4

2002243002100 has 72 divisors (see below), whose sum is σ = 4741725760128. Its totient is φ = 727801036800.

The previous prime is 2002243002079. The next prime is 2002243002107. The reversal of 2002243002100 is 12003422002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002243002107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2439412 + ... + 3155188.

It is an arithmetic number, because the mean of its divisors is an integer number (65857302224).

Almost surely, 22002243002100 is an apocalyptic number.

2002243002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002243002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370862880064).

2002243002100 is an abundant number, since it is smaller than the sum of its proper divisors (2739482758028).

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

2002243002100 is a wasteful number, since it uses less digits than its factorization.

2002243002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718345 (or 718338 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2002243002100 its reverse (12003422002), we get a palindrome (2014246424102).

The spelling of 2002243002100 in words is "two trillion, two billion, two hundred forty-three million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2543 5086 10172 12715 25430 27973 50860 55946 63575 111892 127150 139865 254300 279730 559460 699325 715777 1398650 1431554 2797300 2863108 3578885 7157770 7873547 14315540 15747094 17894425 31494188 35788850 39367735 71577700 78735470 157470940 196838675 393677350 787354700 1820220911 3640441822 7280883644 9101104555 18202209110 20022430021 36404418220 40044860042 45505522775 80089720084 91011045550 100112150105 182022091100 200224300210 400448600420 500560750525 1001121501050 2002243002100