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1113302120 = 2357172310169
BaseRepresentation
bin100001001011011…
…1010010001101000
32212120212121101212
41002112322101220
54240001131440
6302245532252
736405624530
oct10226722150
92776777355
101113302120
115214803a7
12270a14088
1314985a568
14a7c024c0
1567b12465
hex425ba468

1113302120 has 128 divisors (see below), whose sum is σ = 3163276800. Its totient is φ = 343597056.

The previous prime is 1113302089. The next prime is 1113302123. The reversal of 1113302120 is 212033111.

It is a super-2 number, since 2×11133021202 = 2478883220792988800, which contains 22 as substring.

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 = 1113302095 and 1113302104.

It is not an unprimeable number, because it can be changed into a prime (1113302123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104396 + ... + 114564.

It is an arithmetic number, because the mean of its divisors is an integer number (24713100).

Almost surely, 21113302120 is an apocalyptic number.

1113302120 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 1113302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581638400).

1113302120 is an abundant number, since it is smaller than the sum of its proper divisors (2049974680).

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

1113302120 is a wasteful number, since it uses less digits than its factorization.

1113302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10227 (or 10223 counting only the distinct ones).

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

The square root of 1113302120 is about 33366.1822808664. The cubic root of 1113302120 is about 1036.4245190550.

Adding to 1113302120 its reverse (212033111), we get a palindrome (1325335231).

The spelling of 1113302120 in words is "one billion, one hundred thirteen million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 23 28 34 35 40 46 56 68 70 85 92 115 119 136 140 161 170 184 230 238 280 322 340 391 460 476 595 644 680 782 805 920 952 1190 1288 1564 1610 1955 2380 2737 3128 3220 3910 4760 5474 6440 7820 10169 10948 13685 15640 20338 21896 27370 40676 50845 54740 71183 81352 101690 109480 142366 172873 203380 233887 284732 345746 355915 406760 467774 569464 691492 711830 864365 935548 1169435 1210111 1382984 1423660 1637209 1728730 1871096 2338870 2420222 2847320 3274418 3457460 3976079 4677740 4840444 6050555 6548836 6914920 7952158 8186045 9355480 9680888 12101110 13097672 15904316 16372090 19880395 24202220 27832553 31808632 32744180 39760790 48404440 55665106 65488360 79521580 111330212 139162765 159043160 222660424 278325530 556651060 1113302120