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112210100211220 = 225113492300363533
BaseRepresentation
bin11001100000110111110011…
…001010011100111000010100
3112201022011212211000012122121
4121200313303022130320110
5104201422241123224340
61034352335225305324
732430624613405564
oct3140676312347024
9481264784005577
10112210100211220
1132832044292380
121070309b635244
134a7c4a052ab2b
141d9cdd807cda4
15ce8c9771994a
hex660df329ce14

112210100211220 has 96 divisors (see below), whose sum is σ = 257814974390400. Its totient is φ = 40684347701760.

The previous prime is 112210100211211. The next prime is 112210100211239. The reversal of 112210100211220 is 22112001012211.

It is a super-2 number, since 2×1122101002112202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112210100211194 and 112210100211203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1766138574 + ... + 1766202106.

It is an arithmetic number, because the mean of its divisors is an integer number (2685572649900).

Almost surely, 2112210100211220 is an apocalyptic number.

112210100211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112210100211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128907487195200).

112210100211220 is an abundant number, since it is smaller than the sum of its proper divisors (145604874179180).

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

112210100211220 is a wasteful number, since it uses less digits than its factorization.

112210100211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86905 (or 86903 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112210100211220 its reverse (22112001012211), we get a palindrome (134322101223431).

The spelling of 112210100211220 in words is "one hundred twelve trillion, two hundred ten billion, one hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 349 698 1396 1745 3490 3839 6980 7678 15356 19195 23003 38390 46006 63533 76780 92012 115015 127066 230030 253033 254132 317665 460060 506066 635330 698863 1012132 1265165 1270660 1397726 2530330 2795452 3494315 5060660 6988630 8028047 13977260 16056094 22173017 32112188 40140235 44346034 80280470 88308517 88692068 110865085 160560940 176617034 221730170 243903187 353234068 441542585 443460340 487806374 883085170 975612748 1219515935 1461449599 1766170340 2439031870 2922899198 4878063740 5845798396 7307247995 14614495990 16075945589 29228991980 32151891178 64303782356 80379727945 160759455890 321518911780 510045910051 1020091820102 2040183640204 2550229550255 5100459100510 5610505010561 10200918201020 11221010021122 22442020042244 28052525052805 56105050105610 112210100211220