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111120022100022 = 2313163739109710781
BaseRepresentation
bin11001010001000000100101…
…011100011101100000110110
3112120102222012101201121121220
4121101000211130131200312
5104031042301124200042
61032155500004251210
732256104510344545
oct3121004534354066
9476388171647556
10111120022100022
1132451811645291
121056797a6a0b06
134a0075b1c15a0
141d6234860415c
15cca747d478ec
hex65102571d836

111120022100022 has 128 divisors (see below), whose sum is σ = 241371793313280. Its totient is φ = 33900955038720.

The previous prime is 111120022099963. The next prime is 111120022100053. The reversal of 111120022100022 is 220001220021111.

It is a junction number, because it is equal to n+sod(n) for n = 111120022099974 and 111120022100010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10307018272 + ... + 10307029052.

It is an arithmetic number, because the mean of its divisors is an integer number (1885717135260).

Almost surely, 2111120022100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111120022100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120685896656640).

111120022100022 is an abundant number, since it is smaller than the sum of its proper divisors (130251771213258).

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

111120022100022 is a wasteful number, since it uses less digits than its factorization.

111120022100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12798.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 111120022100022 its reverse (220001220021111), we get a palindrome (331121242121133).

The spelling of 111120022100022 in words is "one hundred eleven trillion, one hundred twenty billion, twenty-two million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 163 326 489 739 978 1097 1478 2119 2194 2217 3291 4238 4434 6357 6582 9607 10781 12714 14261 19214 21562 28522 28821 32343 42783 57642 64686 85566 120457 140153 178811 240914 280306 357622 361371 420459 536433 722742 810683 840918 1072866 1565941 1621366 1757303 2324543 2432049 3131882 3514606 4649086 4697823 4864098 5271909 6973629 7967159 9395646 10538879 10543818 11826757 13947258 15934318 21077758 22844939 23653514 23901477 31616637 35480271 45689878 47802954 63233274 68534817 70960542 103573067 132141329 137069634 153747841 207146134 264282658 307495682 310719201 396423987 461243523 621438402 792847974 922487046 1298646917 1717837277 1927761391 2597293834 3435674554 3855522782 3895940751 5153511831 5783284173 7791881502 8739973423 10307023662 11566568346 16882409921 17479946846 25060898083 26219920269 33764819842 50121796166 50647229763 52439840538 75182694249 101294459526 113619654499 150365388498 227239308998 340858963497 681717926994 1424615667949 2849231335898 4273847003847 8547694007694 18520003683337 37040007366674 55560011050011 111120022100022