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110221222111020 = 223254317979555687
BaseRepresentation
bin11001000011111011100000…
…110010100110011100101100
3112110021001020110222102000100
4121003323200302212130230
5103421331030330023040
61030230532545231100
732134135430446416
oct3103734062463454
9473231213872010
10110221222111020
1132135615469519
1210441740332490
134966a80231977
141d30a427519b6
15cb2190d59b30
hex643ee0ca672c

110221222111020 has 144 divisors (see below), whose sum is σ = 344024252732160. Its totient is φ = 28548398809728.

The previous prime is 110221222110929. The next prime is 110221222111037. The reversal of 110221222111020 is 20111222122011.

110221222111020 is a `hidden beast` number, since 1 + 102 + 212 + 221 + 110 + 20 = 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 = 110221222110984 and 110221222111002.

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 47 ways as a sum of consecutive naturals, for example, 38392384 + ... + 41163303.

It is an arithmetic number, because the mean of its divisors is an integer number (2389057310640).

Almost surely, 2110221222111020 is an apocalyptic number.

110221222111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110221222111020 is an abundant number, since it is smaller than the sum of its proper divisors (233803030621140).

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

110221222111020 is a wasteful number, since it uses less digits than its factorization.

110221222111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79555924 (or 79555919 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110221222111020 its reverse (20111222122011), we get a palindrome (130332444233031).

The spelling of 110221222111020 in words is "one hundred ten trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 179 180 215 258 358 387 430 516 537 645 716 774 860 895 1074 1290 1548 1611 1790 1935 2148 2580 2685 3222 3580 3870 5370 6444 7697 7740 8055 10740 15394 16110 23091 30788 32220 38485 46182 69273 76970 92364 115455 138546 153940 230910 277092 346365 461820 692730 1385460 79555687 159111374 238667061 318222748 397778435 477334122 716001183 795556870 954668244 1193335305 1432002366 1591113740 2386670610 2864004732 3420894541 3580005915 4773341220 6841789082 7160011830 10262683623 13683578164 14240467973 14320023660 17104472705 20525367246 28480935946 30788050869 34208945410 41050734492 42721403919 51313418115 56961871892 61576101738 68417890820 71202339865 85442807838 102626836230 123152203476 128164211757 142404679730 153940254345 170885615676 205253672460 213607019595 256328423514 284809359460 307880508690 427214039190 512656847028 612340122839 615761017380 640821058785 854428078380 1224680245678 1281642117570 1837020368517 2449360491356 2563284235140 3061700614195 3674040737034 5511061105551 6123401228390 7348081474068 9185101842585 11022122211102 12246802456780 18370203685170 22044244422204 27555305527755 36740407370340 55110611055510 110221222111020