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111122110222112 = 251117313031400449
BaseRepresentation
bin11001010001000010100001…
…111010000000111100100000
3112120110011120220220012122002
4121101002201322000330200
5104031111040204101422
61032200443120103132
732256210324161213
oct3121024172007440
9476404526805562
10111122110222112
1132452693300320
1210568261a64aa8
134a00a019b0ba2
141d624a5a7b77a
15cca81b315692
hex6510a1e80f20

111122110222112 has 96 divisors (see below), whose sum is σ = 240223916419200. Its totient is φ = 50179508305920.

The previous prime is 111122110222073. The next prime is 111122110222153. The reversal of 111122110222112 is 211222011221111.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 78647264 + ... + 80047712.

It is an arithmetic number, because the mean of its divisors is an integer number (2502332462700).

Almost surely, 2111122110222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111122110222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120111958209600).

111122110222112 is an abundant number, since it is smaller than the sum of its proper divisors (129101806197088).

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

111122110222112 is a wasteful number, since it uses less digits than its factorization.

111122110222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401946 (or 1401938 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 111122110222112 its reverse (211222011221111), we get a palindrome (322344121443223).

The spelling of 111122110222112 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred ten million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 173 176 346 352 692 1303 1384 1903 2606 2768 3806 5212 5536 7612 10424 14333 15224 20848 28666 30448 41696 57332 60896 114664 225419 229328 450838 458656 901676 1400449 1803352 2479609 2800898 3606704 4959218 5601796 7213408 9918436 11203592 15404939 19836872 22407184 30809878 39673744 44814368 61619756 79347488 123239512 242277677 246479024 484555354 492958048 969110708 1824785047 1938221416 2665054447 3649570094 3876442832 5330108894 7299140188 7752885664 10660217788 14598280376 20072635517 21320435576 29196560752 40145271034 42640871152 58393121504 80290542068 85281742304 160581084136 315687813131 321162168272 631375626262 642324336544 1262751252524 2525502505048 3472565944441 5051005010096 6945131888882 10102010020192 13890263777764 27780527555528 55561055111056 111122110222112