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1123221333220 = 225723883395047
BaseRepresentation
bin10000010110000101001…
…101010110010011100100
310222101020020002201102021
4100112011031112103210
5121400324130130340
62220000055152524
7144102320542330
oct20260515262344
93871206081367
101123221333220
113a33a0184378
12161830675744
1381bc498092c
143c51552c7c0
151e33e430e4a
hex105853564e4

1123221333220 has 96 divisors (see below), whose sum is σ = 2816129691648. Its totient is φ = 367942684032.

The previous prime is 1123221333209. The next prime is 1123221333239. The reversal of 1123221333220 is 223331223211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2645737 + ... + 3040783.

It is an arithmetic number, because the mean of its divisors is an integer number (29334684288).

Almost surely, 21123221333220 is an apocalyptic number.

1123221333220 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 1123221333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408064845824).

1123221333220 is an abundant number, since it is smaller than the sum of its proper divisors (1692908358428).

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

1123221333220 is a wasteful number, since it uses less digits than its factorization.

1123221333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395969 (or 395967 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1123221333220 its reverse (223331223211), we get a palindrome (1346552556431).

The spelling of 1123221333220 in words is "one trillion, one hundred twenty-three billion, two hundred twenty-one million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 883 1610 1766 3220 3532 4415 6181 8830 12362 17660 20309 24724 30905 40618 61810 81236 101545 123620 142163 203090 284326 395047 406180 568652 710815 790094 1421630 1580188 1975235 2765329 2843260 3950470 5530658 7900940 9086081 11061316 13826645 18172162 27653290 36344324 45430405 55306580 63602567 90860810 127205134 181721620 254410268 318012835 348826501 636025670 697653002 1272051340 1395306004 1744132505 2441785507 3488265010 4883571014 6976530020 8023009523 9767142028 12208927535 16046019046 24417855070 32092038092 40115047615 48835710140 56161066661 80230095230 112322133322 160460190460 224644266644 280805333305 561610666610 1123221333220