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12100121011 = 112414619901
BaseRepresentation
bin10110100010011100…
…10011000110110011
31011020021111211120001
423101032103012303
5144240112333021
65320403330431
7605565221506
oct132116230663
934207454501
1012100121011
11514a226010
122418380a17
1311aab1b424
1482b04113d
154ac44b091
hex2d13931b3

12100121011 has 16 divisors (see below), whose sum is σ = 13284998496. Its totient is φ = 10929600000.

The previous prime is 12100120999. The next prime is 12100121017. The reversal of 12100121011 is 11012100121.

12100121011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12100121011 - 27 = 12100120883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12100121017) 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, 1217161 + ... + 1227061.

It is an arithmetic number, because the mean of its divisors is an integer number (830312406).

Almost surely, 212100121011 is an apocalyptic number.

12100121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12100121011 is a deficient number, since it is larger than the sum of its proper divisors (1184877485).

12100121011 is a wasteful number, since it uses less digits than its factorization.

12100121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12100121011 its reverse (11012100121), we get a palindrome (23112221132).

The spelling of 12100121011 in words is "twelve billion, one hundred million, one hundred twenty-one thousand, eleven".

Divisors: 1 11 241 461 2651 5071 9901 108911 111101 1222111 2386141 4564361 26247551 50207971 1100011001 12100121011