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1117322316 = 2233112813347
BaseRepresentation
bin100001010011000…
…1111110001001100
32212212102212002000
41002212033301030
54242013303231
6302512032300
736455040315
oct10246176114
92785385060
101117322316
11523776880
12272232690
1314a637386
14a856b60c
15681586e6
hex4298fc4c

1117322316 has 96 divisors (see below), whose sum is σ = 3172296960. Its totient is φ = 337276800.

The previous prime is 1117322273. The next prime is 1117322321. The reversal of 1117322316 is 6132237111.

1117322316 is a `hidden beast` number, since 11 + 17 + 322 + 316 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1117322316.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332155 + ... + 335501.

It is an arithmetic number, because the mean of its divisors is an integer number (33044760).

Almost surely, 21117322316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117322316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586148480).

1117322316 is an abundant number, since it is smaller than the sum of its proper divisors (2054974644).

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

1117322316 is a wasteful number, since it uses less digits than its factorization.

1117322316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3644 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 1117322316 is about 33426.3715649785. The cubic root of 1117322316 is about 1037.6705493276.

Adding to 1117322316 its reverse (6132237111), we get a palindrome (7249559427).

It can be divided in two parts, 11173 and 22316, that added together give a square (33489 = 1832).

The spelling of 1117322316 in words is "one billion, one hundred seventeen million, three hundred twenty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 281 297 396 562 594 843 1124 1188 1686 2529 3091 3347 3372 5058 6182 6694 7587 9273 10041 10116 12364 13388 15174 18546 20082 27819 30123 30348 36817 37092 40164 55638 60246 73634 83457 90369 110451 111276 120492 147268 166914 180738 220902 331353 333828 361476 441804 662706 940507 994059 1325412 1881014 1988118 2821521 3762028 3976236 5643042 8464563 10345577 11286084 16929126 20691154 25393689 31036731 33858252 41382308 50787378 62073462 93110193 101574756 124146924 186220386 279330579 372440772 558661158 1117322316