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12020020101 = 3297137100501
BaseRepresentation
bin10110011000111001…
…01111001110000101
31011000200210021202200
423030130233032011
5144104111120401
65304422425113
7603603325245
oct131434571605
934020707680
1012020020101
115108a96011
1223b5592199
13119735413b
1482054db25
154a53c7686
hex2cc72f385

12020020101 has 24 divisors (see below), whose sum is σ = 17669457624. Its totient is φ = 7872768000.

The previous prime is 12020020099. The next prime is 12020020109. The reversal of 12020020101 is 10102002021.

It can be written as a sum of positive squares in 4 ways, for example, as 586850625 + 11433169476 = 24225^2 + 106926^2 .

It is not a de Polignac number, because 12020020101 - 21 = 12020020099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020020109) 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, 69351 + ... + 169851.

It is an arithmetic number, because the mean of its divisors is an integer number (736227401).

Almost surely, 212020020101 is an apocalyptic number.

It is an amenable number.

12020020101 is a deficient number, since it is larger than the sum of its proper divisors (5649437523).

12020020101 is a wasteful number, since it uses less digits than its factorization.

12020020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100741 (or 100738 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12020020101 its reverse (10102002021), we get a palindrome (22122022122).

The spelling of 12020020101 in words is "twelve billion, twenty million, twenty thousand, one hundred one".

Divisors: 1 3 9 97 137 291 411 873 1233 13289 39867 100501 119601 301503 904509 9748597 13768637 29245791 41305911 87737373 123917733 1335557789 4006673367 12020020101