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12111112101 = 3111013633697
BaseRepresentation
bin10110100011110000…
…01110011110100101
31011021001012020111110
423101320032132211
5144300421041401
65321435055233
7606060516504
oct132170163645
934231166443
1012111112101
115155452860
12241bba1519
1311b019912a
1482c6a283b
154ad3bc9d6
hex2d1e0e7a5

12111112101 has 16 divisors (see below), whose sum is σ = 17790585408. Its totient is φ = 7267392000.

The previous prime is 12111112087. The next prime is 12111112109. The reversal of 12111112101 is 10121111121.

It is not a de Polignac number, because 12111112101 - 218 = 12110849957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111112109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813516 + ... + 1820181.

It is an arithmetic number, because the mean of its divisors is an integer number (1111911588).

Almost surely, 212111112101 is an apocalyptic number.

12111112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111112101 is a deficient number, since it is larger than the sum of its proper divisors (5679473307).

12111112101 is a wasteful number, since it uses less digits than its factorization.

12111112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633812.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12111112101 its reverse (10121111121), we get a palindrome (22232223222).

The spelling of 12111112101 in words is "twelve billion, one hundred eleven million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 11 33 101 303 1111 3333 3633697 10901091 39970667 119912001 367003397 1101010191 4037037367 12111112101