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112100221101 = 31117224389087
BaseRepresentation
bin110100001100110110…
…0011010000010101101
3101201100110100021002210
41220121230122002231
53314040124033401
6123255332441033
711045643105021
oct1503154320255
9351313307083
10112100221101
11435a571a330
1219886179179
13a75666459b
1455d60ca381
152db16a54d6
hex1a19b1a0ad

112100221101 has 32 divisors (see below), whose sum is σ = 172725239808. Its totient is φ = 63913859840.

The previous prime is 112100221099. The next prime is 112100221127. The reversal of 112100221101 is 101122001211.

It is a cyclic number.

It is not a de Polignac number, because 112100221101 - 21 = 112100221099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100225101) 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 31 ways as a sum of consecutive naturals, for example, 1213780 + ... + 1302866.

It is an arithmetic number, because the mean of its divisors is an integer number (5397663744).

Almost surely, 2112100221101 is an apocalyptic number.

112100221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112100221101 is a deficient number, since it is larger than the sum of its proper divisors (60625018707).

112100221101 is a wasteful number, since it uses less digits than its factorization.

112100221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91361.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112100221101 its reverse (101122001211), we get a palindrome (213222222312).

The spelling of 112100221101 in words is "one hundred twelve billion, one hundred million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 11 17 33 51 187 561 2243 6729 24673 38131 74019 89087 114393 267261 419441 979957 1258323 1514479 2939871 4543437 16659269 49977807 199822141 599466423 2198043551 3396976397 6594130653 10190929191 37366740367 112100221101