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112210000111 = 112341179223271
BaseRepresentation
bin110100010000000111…
…1001011100011101111
3101201122002220121121001
41220200033023203233
53314301230000421
6123314253421131
711051445156316
oct1504017134357
9351562817531
10112210000111
114365168a990
12198b6a9a7a7
13a773320191
14560690527d
152dbb13c691
hex1a203cb8ef

112210000111 has 64 divisors (see below), whose sum is σ = 132657315840. Its totient is φ = 93890016000.

The previous prime is 112210000079. The next prime is 112210000129. The reversal of 112210000111 is 111000012211.

It is not a de Polignac number, because 112210000111 - 25 = 112210000079 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 (112210000151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414058906 + ... + 414059176.

It is an arithmetic number, because the mean of its divisors is an integer number (2072770560).

Almost surely, 2112210000111 is an apocalyptic number.

112210000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112210000111 is a deficient number, since it is larger than the sum of its proper divisors (20447315729).

112210000111 is a wasteful number, since it uses less digits than its factorization.

112210000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748.

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

Adding to 112210000111 its reverse (111000012211), we get a palindrome (223210012322).

It can be divided in two parts, 11 and 2210000111, that added together give a palindrome (2210000122).

The spelling of 112210000111 in words is "one hundred twelve billion, two hundred ten million, one hundred eleven", and thus it is an aban number.

Divisors: 1 11 23 41 179 223 253 271 451 943 1969 2453 2981 4117 5129 6233 7339 9143 10373 11111 39917 45287 48509 56419 60433 68563 80729 100573 122221 168797 210289 255553 439087 533599 664763 918091 1115707 1389959 1636597 1856767 1988869 2313179 2477753 2811083 10099001 10817507 12272777 15289549 18002567 21877559 27255283 37641731 45743987 56988319 118992577 248802661 414059041 443517787 503183857 626871509 2736829271 4878695657 10200909101 112210000111