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2002022200101 = 371119456145409
BaseRepresentation
bin11101001000100001110…
…100100111001100100101
321002101120100222021000010
4131020201310213030211
5230300120140400401
64131414415440433
7264432655631130
oct35104164471445
97071510867003
102002022200101
11702064380740
12284009226119
13116a364b2391
146cc81287217
15371257c7ed6
hex1d221d27325

2002022200101 has 32 divisors (see below), whose sum is σ = 3503196748800. Its totient is φ = 985274081280.

The previous prime is 2002022200043. The next prime is 2002022200103. The reversal of 2002022200101 is 1010022202002.

It is not a de Polignac number, because 2002022200101 - 27 = 2002022199973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002022200103) 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, 228068316 + ... + 228077093.

It is an arithmetic number, because the mean of its divisors is an integer number (109474898400).

Almost surely, 22002022200101 is an apocalyptic number.

2002022200101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002022200101 is a deficient number, since it is larger than the sum of its proper divisors (1501174548699).

2002022200101 is a wasteful number, since it uses less digits than its factorization.

2002022200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456145449.

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

Adding to 2002022200101 its reverse (1010022202002), we get a palindrome (3012044402103).

The spelling of 2002022200101 in words is "two trillion, two billion, twenty-two million, two hundred thousand, one hundred one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 4389 456145409 1368436227 3193017863 5017599499 8666762771 9579053589 15052798497 26000288313 35123196493 60667339397 95334390481 105369589479 182002018191 286003171443 667340733367 2002022200101