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1220110222100 = 22527111033715329
BaseRepresentation
bin10001110000010100001…
…111001000001100010100
311022122022120122020112012
4101300110033020030110
5124442241204101400
62332302204243352
7154102316525120
oct21602417101424
94278276566465
101220110222100
1143049a459660
12178570540558
138b095a74b03
14430a7302580
1521b10479d35
hex11c143c8314

1220110222100 has 144 divisors (see below), whose sum is σ = 3301487441280. Its totient is φ = 380232499200.

The previous prime is 1220110222087. The next prime is 1220110222127. The reversal of 1220110222100 is 12220110221.

It is a super-2 number, since 2×12201102221002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79587236 + ... + 79602564.

It is an arithmetic number, because the mean of its divisors is an integer number (22926996120).

Almost surely, 21220110222100 is an apocalyptic number.

1220110222100 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 1220110222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650743720640).

1220110222100 is an abundant number, since it is smaller than the sum of its proper divisors (2081377219180).

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

1220110222100 is a wasteful number, since it uses less digits than its factorization.

1220110222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25698 (or 25691 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220110222100 its reverse (12220110221), we get a palindrome (1232330332321).

The spelling of 1220110222100 in words is "one trillion, two hundred twenty billion, one hundred ten million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 10337 15329 20674 30658 41348 51685 61316 72359 76645 103370 107303 113707 144718 153290 168619 206740 214606 227414 258425 289436 306580 337238 361795 383225 429212 454828 516850 536515 568535 674476 723590 766450 795949 843095 1033700 1073030 1137070 1180333 1447180 1532900 1591898 1686190 1808975 2146060 2274140 2360666 2682575 2842675 3183796 3372380 3617950 3979745 4215475 4721332 5365150 5685350 5901665 7235900 7959490 8430950 10730300 11370700 11803330 15918980 16861900 19898725 23606660 29508325 39797450 59016650 79594900 118033300 158455873 316911746 633823492 792279365 1109191111 1584558730 1743014603 2218382222 3169117460 3486029206 3961396825 4436764444 5545955555 6972058412 7922793650 8715073015 11091911110 12201102221 15845587300 17430146030 22183822220 24402204442 27729777775 34860292060 43575365075 48804408884 55459555550 61005511105 87150730150 110919111100 122011022210 174301460300 244022044420 305027555525 610055111050 1220110222100