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1113311220 = 223574875443
BaseRepresentation
bin100001001011011…
…1100011111110100
32212120220001212220
41002112330133310
54240001424340
6302250042340
736405663210
oct10226743764
92776801786
101113311220
1152148721a
12270a193b0
13149861748
14a7c05940
1567b14ed0
hex425bc7f4

1113311220 has 96 divisors (see below), whose sum is σ = 3570567168. Its totient is φ = 253901952.

The previous prime is 1113311207. The next prime is 1113311233. The reversal of 1113311220 is 221133111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1113311207) and next prime (1113311233).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1113311220.

It is a congruent number.

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, 201819 + ... + 207261.

It is an arithmetic number, because the mean of its divisors is an integer number (37193408).

Almost surely, 21113311220 is an apocalyptic number.

1113311220 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 1113311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785283584).

1113311220 is an abundant number, since it is smaller than the sum of its proper divisors (2457255948).

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

1113311220 is a wasteful number, since it uses less digits than its factorization.

1113311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1113311220 is about 33366.3186462037. The cubic root of 1113311220 is about 1036.4273429178.

Adding to 1113311220 its reverse (221133111), we get a palindrome (1334444331).

The spelling of 1113311220 in words is "one billion, one hundred thirteen million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 487 974 1461 1948 2435 2922 3409 4870 5443 5844 6818 7305 9740 10227 10886 13636 14610 16329 17045 20454 21772 27215 29220 32658 34090 38101 40908 51135 54430 65316 68180 76202 81645 102270 108860 114303 152404 163290 190505 204540 228606 326580 381010 457212 571515 762020 1143030 2286060 2650741 5301482 7952223 10602964 13253705 15904446 18555187 26507410 31808892 37110374 39761115 53014820 55665561 74220748 79522230 92775935 111331122 159044460 185551870 222662244 278327805 371103740 556655610 1113311220