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110222100120 = 233511412720233
BaseRepresentation
bin110011010100110111…
…1111100011010011000
3101112111120022211110110
41212221233330122120
53301213324200440
6122345122044320
710651256251446
oct1465157743230
9345446284413
10110222100120
1142821558230
12194411a96a0
13a5175214b2
1454988b9b96
152d0186a080
hex19a9bfc698

110222100120 has 128 divisors (see below), whose sum is σ = 360832112640. Its totient is φ = 26712714240.

The previous prime is 110222100091. The next prime is 110222100137. The reversal of 110222100120 is 21001222011.

It is a super-2 number, since 2×1102221001202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110222100096 and 110222100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5437524 + ... + 5457756.

It is an arithmetic number, because the mean of its divisors is an integer number (2819000880).

Almost surely, 2110222100120 is an apocalyptic number.

110222100120 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 110222100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180416056320).

110222100120 is an abundant number, since it is smaller than the sum of its proper divisors (250610012520).

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

110222100120 is a wasteful number, since it uses less digits than its factorization.

110222100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24385 (or 24381 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110222100120 its reverse (21001222011), we get a palindrome (131223322131).

The spelling of 110222100120 in words is "one hundred ten billion, two hundred twenty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 4127 8254 12381 16508 20233 20635 24762 33016 40466 41270 45397 49524 60699 61905 80932 82540 90794 99048 101165 121398 123810 136191 161864 165080 181588 202330 222563 226985 242796 247620 272382 303495 363176 404660 445126 453970 485592 495240 544764 606990 667689 680955 809320 890252 907940 1089528 1112815 1213980 1335378 1361910 1780504 1815880 2225630 2427960 2670756 2723820 3338445 4451260 5341512 5447640 6676890 8902520 13353780 26707560 83501591 167003182 250504773 334006364 417507955 501009546 668012728 835015910 918517501 1002019092 1252523865 1670031820 1837035002 2004038184 2505047730 2755552503 3340063640 3674070004 4592587505 5010095460 5511105006 7348140008 9185175010 10020190920 11022210012 13777762515 18370350020 22044420024 27555525030 36740700040 55111050060 110222100120