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1130313222 = 2322937431361
BaseRepresentation
bin100001101011111…
…0011011000000110
32220202212212020200
41003113303120012
54303330010342
6304054311330
740003334553
oct10327633006
92822785220
101130313222
1153003a065
12276658546
131502353bc
14aa18da2a
156937294c
hex435f3606

1130313222 has 96 divisors (see below), whose sum is σ = 2664398880. Its totient is φ = 345461760.

The previous prime is 1130313169. The next prime is 1130313241. The reversal of 1130313222 is 2223130311.

1130313222 is a `hidden beast` number, since 1 + 130 + 313 + 222 = 666.

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 = 1130313195 and 1130313204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829822 + ... + 831182.

It is an arithmetic number, because the mean of its divisors is an integer number (27754155).

Almost surely, 21130313222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130313222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332199440).

1130313222 is an abundant number, since it is smaller than the sum of its proper divisors (1534085658).

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

1130313222 is a wasteful number, since it uses less digits than its factorization.

1130313222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1475 counting only the distinct ones).

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

The square root of 1130313222 is about 33620.1312014097. The cubic root of 1130313222 is about 1041.6766661469.

Adding to 1130313222 its reverse (2223130311), we get a palindrome (3353443533).

The spelling of 1130313222 in words is "one billion, one hundred thirty million, three hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 37 43 58 74 86 87 111 129 174 222 258 261 333 387 522 666 774 1073 1247 1361 1591 2146 2494 2722 3182 3219 3741 4083 4773 6438 7482 8166 9546 9657 11223 12249 14319 19314 22446 24498 28638 39469 46139 50357 58523 78938 92278 100714 117046 118407 138417 151071 175569 236814 276834 302142 351138 355221 415251 453213 526707 710442 830502 906426 1053414 1460353 1697167 2165351 2920706 3394334 4330702 4381059 5091501 6496053 8762118 10183002 12992106 13143177 15274503 19488159 26286354 30549006 38976318 62795179 125590358 188385537 376771074 565156611 1130313222