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112121221905 = 325711231406879
BaseRepresentation
bin110100001101011110…
…0100001001100010001
3101201101220212012210100
41220122330201030101
53314111013100110
6123301402523013
711046316442610
oct1503274411421
9351356765710
10112121221905
1143606563570
1219891206469
13a75ab083b4
1455d8bd5877
152db3452bc0
hex1a1af21311

112121221905 has 96 divisors (see below), whose sum is σ = 252833218560. Its totient is φ = 44569895040.

The previous prime is 112121221889. The next prime is 112121221931. The reversal of 112121221905 is 509122121211.

It is not a de Polignac number, because 112121221905 - 24 = 112121221889 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 623745 + ... + 783134.

It is an arithmetic number, because the mean of its divisors is an integer number (2633679360).

Almost surely, 2112121221905 is an apocalyptic number.

112121221905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112121221905 is an abundant number, since it is smaller than the sum of its proper divisors (140711996655).

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

112121221905 is a wasteful number, since it uses less digits than its factorization.

112121221905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406931 (or 1406928 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 112121221905 in words is "one hundred twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, nine hundred five".

Divisors: 1 3 5 7 9 11 15 21 23 33 35 45 55 63 69 77 99 105 115 161 165 207 231 253 315 345 385 483 495 693 759 805 1035 1155 1265 1449 1771 2277 2415 3465 3795 5313 7245 8855 11385 15939 26565 79695 1406879 4220637 7034395 9848153 12661911 15475669 21103185 29544459 32358217 46427007 49240765 63309555 77378345 88633377 97074651 108329683 139281021 147722295 161791085 226507519 232135035 291223953 324989049 355940387 443166885 485373255 541648415 679522557 696405105 974967147 1067821161 1132537595 1456119765 1624945245 1779701935 2038567671 2491582709 3203463483 3397612785 4874835735 5339105805 7474748127 10192838355 12457913545 16017317415 22424244381 37373740635 112121221905