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110131221222 = 232112291743631
BaseRepresentation
bin110011010010001010…
…1010001001011100110
3101112021020022201001100
41212210111101023212
53301022043034342
6122332114140530
710646103635421
oct1464425211346
9345236281040
10110131221222
1142785226600
1219416881746
13a5017524b9
14548a7c09b8
152ce88b7e4c
hex19a45512e6

110131221222 has 72 divisors (see below), whose sum is σ = 271326575520. Its totient is φ = 32222282400.

The previous prime is 110131221217. The next prime is 110131221259. The reversal of 110131221222 is 222122131011.

110131221222 is a `hidden beast` number, since 110 + 1 + 312 + 21 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110131221195 and 110131221204.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 808654 + ... + 934977.

It is an arithmetic number, because the mean of its divisors is an integer number (3768424660).

Almost surely, 2110131221222 is an apocalyptic number.

110131221222 is an abundant number, since it is smaller than the sum of its proper divisors (161195354298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110131221222 is a wasteful number, since it uses less digits than its factorization.

110131221222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743690 (or 1743676 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110131221222 its reverse (222122131011), we get a palindrome (332253352233).

The spelling of 110131221222 in words is "one hundred ten billion, one hundred thirty-one million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 121 174 198 242 261 319 363 522 638 726 957 1089 1914 2178 2871 3509 5742 7018 10527 21054 31581 63162 1743631 3487262 5230893 10461786 15692679 19179941 31385358 38359882 50565299 57539823 101130598 115079646 151695897 172619469 210979351 303391794 345238938 421958702 455087691 556218289 632938053 910175382 1112436578 1265876106 1668654867 1898814159 3337309734 3797628318 5005964601 6118401179 10011929202 12236802358 18355203537 36710407074 55065610611 110131221222