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1123221132220 = 2251129277763397
BaseRepresentation
bin10000010110000101001…
…100100101001110111100
310222101020012201111200211
4100112011030211032330
5121400324102212340
62220000051002204
7144102316044325
oct20260514451674
93871205644624
101123221132220
113a33a0057360
12161830599364
1381bc49102b5
143c5154b944c
151e33e3e15ea
hex105853253bc

1123221132220 has 96 divisors (see below), whose sum is σ = 2662929017280. Its totient is φ = 394211543040.

The previous prime is 1123221132179. The next prime is 1123221132239. The reversal of 1123221132220 is 222311223211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1123221132191 and 1123221132200.

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, 17685562 + ... + 17748958.

It is an arithmetic number, because the mean of its divisors is an integer number (27738843930).

Almost surely, 21123221132220 is an apocalyptic number.

1123221132220 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 1123221132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331464508640).

1123221132220 is an abundant number, since it is smaller than the sum of its proper divisors (1539707885060).

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

1123221132220 is a wasteful number, since it uses less digits than its factorization.

1123221132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66223 (or 66221 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1123221132220 its reverse (222311223211), we get a palindrome (1345532355431).

Subtracting from 1123221132220 its reverse (222311223211), we obtain a palindrome (900909909009).

The spelling of 1123221132220 in words is "one trillion, one hundred twenty-three billion, two hundred twenty-one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 2777 3190 5554 6380 11108 13885 27770 30547 55540 61094 63397 80533 122188 126794 152735 161066 253588 305470 316985 322132 402665 610940 633970 697367 805330 885863 1267940 1394734 1610660 1771726 1838513 2789468 3486835 3543452 3677026 4429315 6973670 7354052 8858630 9192565 13947340 17717260 18385130 20223643 36770260 40447286 80894572 101118215 176053469 202236430 352106938 404472860 704213876 880267345 1760534690 1936588159 3521069380 3873176318 5105550601 7746352636 9682940795 10211101202 19365881590 20422202404 25527753005 38731763180 51055506010 56161056611 102111012020 112322113222 224644226444 280805283055 561610566110 1123221132220