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2002212202000 = 24531001106101
BaseRepresentation
bin11101001000101101001…
…001011010011000010000
321002102001121111100121111
4131020231021122120100
5230301012310431000
64131445324103104
7264440453624413
oct35105511323020
97072047440544
102002212202000
117021516549aa
12284060994a94
13116a6697893a
146cc9c5c5b7a
1537137309cba
hex1d22d25a610

2002212202000 has 40 divisors (see below), whose sum is σ = 4841349109272. Its totient is φ = 800884880000.

The previous prime is 2002212201973. The next prime is 2002212202021. The reversal of 2002212202000 is 2022122002.

It can be written as a sum of positive squares in 4 ways, for example, as 164680132864 + 1837532069136 = 405808^2 + 1355556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500551051 + ... + 500555050.

Almost surely, 22002212202000 is an apocalyptic number.

2002212202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002212202000 is an abundant number, since it is smaller than the sum of its proper divisors (2839136907272).

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

2002212202000 is a wasteful number, since it uses less digits than its factorization.

2002212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001106124 (or 1001106108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2002212202000 its reverse (2022122002), we get a palindrome (2004234324002).

The spelling of 2002212202000 in words is "two trillion, two billion, two hundred twelve million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1001106101 2002212202 4004424404 5005530505 8008848808 10011061010 16017697616 20022122020 25027652525 40044244040 50055305050 80088488080 100110610100 125138262625 200221220200 250276525250 400442440400 500553050500 1001106101000 2002212202000