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1220100110220 = 223573307907367
BaseRepresentation
bin10001110000010011101…
…000100011011110001100
311022122021212121111122010
4101300103220203132030
5124442231112011340
62332301203421220
7154102134551325
oct21602350433614
94278255544563
101220100110220
11430494782432
12178569084810
138b093944354
14430a5c2d44c
1521b0e62db80
hex11c13a2378c

1220100110220 has 96 divisors (see below), whose sum is σ = 3474362884608. Its totient is φ = 319857403392.

The previous prime is 1220100110213. The next prime is 1220100110233. The reversal of 1220100110220 is 220110010221.

It is a super-2 number, since 2×12201001102202 (a number of 25 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 = 1220100110196 and 1220100110205.

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, 890977 + ... + 1798343.

It is an arithmetic number, because the mean of its divisors is an integer number (36191280048).

Almost surely, 21220100110220 is an apocalyptic number.

1220100110220 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 1220100110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737181442304).

1220100110220 is an abundant number, since it is smaller than the sum of its proper divisors (2254262774388).

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

1220100110220 is a wasteful number, since it uses less digits than its factorization.

1220100110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907759 (or 907757 counting only the distinct ones).

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

Adding to 1220100110220 its reverse (220110010221), we get a palindrome (1440210120441).

Subtracting from 1220100110220 its reverse (220110010221), we obtain a palindrome (999990099999).

It can be divided in two parts, 12201001 and 10220, that added together give a palindrome (12211221).

The spelling of 1220100110220 in words is "one trillion, two hundred twenty billion, one hundred million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 307 365 438 614 730 876 921 1095 1228 1460 1535 1842 2190 3070 3684 4380 4605 6140 9210 18420 22411 44822 67233 89644 112055 134466 224110 268932 336165 448220 672330 907367 1344660 1814734 2722101 3629468 4536835 5444202 9073670 10888404 13610505 18147340 27221010 54442020 66237791 132475582 198713373 264951164 278561669 331188955 397426746 557123338 662377910 794853492 835685007 993566865 1114246676 1324755820 1392808345 1671370014 1987133730 2785616690 3342740028 3974267460 4178425035 5571233380 8356850070 16713700140 20335001837 40670003674 61005005511 81340007348 101675009185 122010011022 203350018370 244020022044 305025027555 406700036740 610050055110 1220100110220