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12001010101 = 197281431503
BaseRepresentation
bin10110010110101000…
…01110000110110101
31010222101000110221121
423023110032012311
5144034224310401
65302503143541
7603252621433
oct131324160665
933871013847
1012001010101
1150a9291573
1223ab144bb1
131193429512
1481bc01d53
154a38beca1
hex2cb50e1b5

12001010101 has 16 divisors (see below), whose sum is σ = 12157060608. Its totient is φ = 11846396800.

The previous prime is 12001010059. The next prime is 12001010149. The reversal of 12001010101 is 10101010021.

12001010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12001010101 - 223 = 11992621493 is a prime.

It is a Duffinian number.

12001010101 is a modest number, since divided by 1010101 gives 120 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001010171) 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 15 ways as a sum of consecutive naturals, for example, 23858616 + ... + 23859118.

It is an arithmetic number, because the mean of its divisors is an integer number (759816288).

Almost surely, 212001010101 is an apocalyptic number.

It is an amenable number.

12001010101 is a deficient number, since it is larger than the sum of its proper divisors (156050507).

12001010101 is a wasteful number, since it uses less digits than its factorization.

12001010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12001010101 its reverse (10101010021), we get a palindrome (22102020122).

The spelling of 12001010101 in words is "twelve billion, one million, ten thousand, one hundred one".

Divisors: 1 197 281 431 503 55357 84907 99091 121111 141343 216793 23858867 27844571 42708221 60918833 12001010101