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12022001101 = 112925710733
BaseRepresentation
bin10110011001001000…
…10010110111001101
31011000211111221012001
423030210102313031
5144110113013401
65304533112301
7603626215615
oct131444226715
934024457161
1012022001101
11510a119400
1223b6188691
131197898a26
14820907a45
154a5669601
hex2cc912dcd

12022001101 has 12 divisors (see below), whose sum is σ = 13216924476. Its totient is φ = 10926893120.

The previous prime is 12022001087. The next prime is 12022001107. The reversal of 12022001101 is 10110022021.

12022001101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 849722500 + 11172278601 = 29150^2 + 105699^2 .

It is not a de Polignac number, because 12022001101 - 29 = 12022000589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022001107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1114731 + ... + 1125463.

It is an arithmetic number, because the mean of its divisors is an integer number (1101410373).

Almost surely, 212022001101 is an apocalyptic number.

12022001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12022001101 is a deficient number, since it is larger than the sum of its proper divisors (1194923375).

12022001101 is a wasteful number, since it uses less digits than its factorization.

12022001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20012 (or 20001 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12022001101 its reverse (10110022021), we get a palindrome (22132023122).

The spelling of 12022001101 in words is "twelve billion, twenty-two million, one thousand, one hundred one".

Divisors: 1 11 121 9257 10733 101827 118063 1120097 1298693 99355381 1092909191 12022001101