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2001122122194 = 2321354115807401
BaseRepresentation
bin11101000111101100001…
…011000101100111010010
321002022020122022120020100
4131013230023011213102
5230241244230402234
64131145223553230
7264401446246236
oct35075413054722
97068218276210
102001122122194
117017422a58a8
122839b78bb816
13116921b8c3c0
146cbd790a5c6
15370c1783399
hex1d1ec2c59d2

2001122122194 has 48 divisors (see below), whose sum is σ = 4677916088664. Its totient is φ = 614591712000.

The previous prime is 2001122122193. The next prime is 2001122122231. The reversal of 2001122122194 is 4912212211002.

2001122122194 is a `hidden beast` number, since 200 + 11 + 221 + 221 + 9 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1375781205969 + 625340916225 = 1172937^2 + 790785^2 .

It is not an unprimeable number, because it can be changed into a prime (2001122122193) 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, 7777107 + ... + 8030294.

Almost surely, 22001122122194 is an apocalyptic number.

2001122122194 is an abundant number, since it is smaller than the sum of its proper divisors (2676793966470).

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

2001122122194 is a wasteful number, since it uses less digits than its factorization.

2001122122194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15807963 (or 15807960 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 2001122122194 its reverse (4912212211002), we get a palindrome (6913334333196).

The spelling of 2001122122194 in words is "two trillion, one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 541 1082 1623 3246 4869 7033 9738 14066 21099 42198 63297 126594 15807401 31614802 47422203 94844406 142266609 205496213 284533218 410992426 616488639 1232977278 1849465917 3698931834 8551803941 17103607882 25655411823 51310823646 76966235469 111173451233 153932470938 222346902466 333520353699 667040707398 1000561061097 2001122122194