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1113321020 = 225729443619
BaseRepresentation
bin100001001011011…
…1110111000111100
32212120220120022212
41002112332320330
54240002233040
6302250155552
736406033610
oct10226767074
92776816285
101113321020
11521493619
12270a22bb8
13149866046
14a7c09340
1567b17d65
hex425bee3c

1113321020 has 96 divisors (see below), whose sum is σ = 2774822400. Its totient is φ = 367121664.

The previous prime is 1113320963. The next prime is 1113321023. The reversal of 1113321020 is 201233111.

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

It is a junction number, because it is equal to n+sod(n) for n = 1113320986 and 1113321004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113321023) by changing a digit.

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, 1798271 + ... + 1798889.

It is an arithmetic number, because the mean of its divisors is an integer number (28904400).

Almost surely, 21113321020 is an apocalyptic number.

1113321020 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 1113321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387411200).

1113321020 is an abundant number, since it is smaller than the sum of its proper divisors (1661501380).

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

1113321020 is a wasteful number, since it uses less digits than its factorization.

1113321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1113321020 is about 33366.4655005591. The cubic root of 1113321020 is about 1036.4303839836.

Adding to 1113321020 its reverse (201233111), we get a palindrome (1314554131).

The spelling of 1113321020 in words is "one billion, one hundred thirteen million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 443 580 619 812 886 1015 1238 1772 2030 2215 2476 3095 3101 4060 4333 4430 6190 6202 8666 8860 12380 12404 12847 15505 17332 17951 21665 25694 31010 35902 43330 51388 62020 64235 71804 86660 89755 89929 125657 128470 179510 179858 251314 256940 274217 359020 359716 449645 502628 548434 628285 899290 1096868 1256570 1371085 1798580 1919519 2513140 2742170 3839038 5484340 7678076 7952293 9597595 15904586 19195190 31809172 38390380 39761465 55666051 79522930 111332102 159045860 222664204 278330255 556660510 1113321020