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1113323220 = 2232530720147
BaseRepresentation
bin100001001011011…
…1111011011010100
32212120220200100100
41002112333123110
54240002320340
6302250214100
736406043202
oct10226773324
92776820310
101113323220
11521495239
12270a24330
13149867049
14a7c0a072
1567b18830
hex425bf6d4

1113323220 has 72 divisors (see below), whose sum is σ = 3388248864. Its totient is φ = 295904448.

The previous prime is 1113323213. The next prime is 1113323227. The reversal of 1113323220 is 223233111.

1113323220 is a `hidden beast` number, since 1 + 11 + 332 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1113323213) and next prime (1113323227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1113323193 and 1113323202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113323227) 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 23 ways as a sum of consecutive naturals, for example, 45187 + ... + 65333.

It is an arithmetic number, because the mean of its divisors is an integer number (47059012).

Almost surely, 21113323220 is an apocalyptic number.

1113323220 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 1113323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694124432).

1113323220 is an abundant number, since it is smaller than the sum of its proper divisors (2274925644).

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

1113323220 is a wasteful number, since it uses less digits than its factorization.

1113323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20469 (or 20464 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1113323220 is about 33366.4984677745. The cubic root of 1113323220 is about 1036.4310666694.

Adding to 1113323220 its reverse (223233111), we get a palindrome (1336556331).

The spelling of 1113323220 in words is "one billion, one hundred thirteen million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1842 2763 3070 3684 4605 5526 6140 9210 11052 13815 18420 20147 27630 40294 55260 60441 80588 100735 120882 181323 201470 241764 302205 362646 402940 604410 725292 906615 1208820 1813230 3626460 6185129 12370258 18555387 24740516 30925645 37110774 55666161 61851290 74221548 92776935 111332322 123702580 185553870 222664644 278330805 371107740 556661610 1113323220