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2002022100021 = 37997661131749
BaseRepresentation
bin11101001000100001110…
…100001110110000110101
321002101120100210011201110
4131020201310032300311
5230300120124200041
64131414413345233
7264432655033266
oct35104164166065
97071510704643
102002022100021
11702064312529
12284009198219
13116a36478968
146cc8125c96d
15371257a8516
hex1d221d0ec35

2002022100021 has 32 divisors (see below), whose sum is σ = 2735172160000. Its totient is φ = 1302218311680.

The previous prime is 2002022099947. The next prime is 2002022100031. The reversal of 2002022100021 is 1200012202002.

It is not a de Polignac number, because 2002022100021 - 229 = 2001485229109 is a prime.

It is a super-3 number, since 3×20020221000213 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002022100031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15129855 + ... + 15261603.

It is an arithmetic number, because the mean of its divisors is an integer number (85474130000).

Almost surely, 22002022100021 is an apocalyptic number.

It is an amenable number.

2002022100021 is a deficient number, since it is larger than the sum of its proper divisors (733150059979).

2002022100021 is a wasteful number, since it uses less digits than its factorization.

2002022100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132589.

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

Adding to 2002022100021 its reverse (1200012202002), we get a palindrome (3202034302023).

The spelling of 2002022100021 in words is "two trillion, two billion, twenty-two million, one hundred thousand, twenty-one".

Divisors: 1 3 79 97 237 291 661 1983 7663 22989 52219 64117 131749 156657 192351 395247 5065243 10408171 12779653 15195729 31224513 38338959 87086089 261258267 1009592587 3028777761 6879801031 8447350633 20639403093 25342051899 667340700007 2002022100021