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1116112288 = 251719831301
BaseRepresentation
bin100001010000110…
…1000010110100000
32212210011101020011
41002201220112200
54241211043123
6302430054304
736441540454
oct10241502640
92783141204
101116112288
1152301a755
1227194a394
1314a302695
14a8334664
1567eb9e0d
hex428685a0

1116112288 has 96 divisors (see below), whose sum is σ = 2480466240. Its totient is φ = 491212800.

The previous prime is 1116112259. The next prime is 1116112297. The reversal of 1116112288 is 8822116111.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857238 + ... + 858538.

It is an arithmetic number, because the mean of its divisors is an integer number (25838190).

Almost surely, 21116112288 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 1116112288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240233120).

1116112288 is an abundant number, since it is smaller than the sum of its proper divisors (1364353952).

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

1116112288 is a wasteful number, since it uses less digits than its factorization.

1116112288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

The product of its digits is 1536, while the sum is 31.

The square root of 1116112288 is about 33408.2667613871. The cubic root of 1116112288 is about 1037.2958248822.

Adding to 1116112288 its reverse (8822116111), we get a palindrome (9938228399).

The spelling of 1116112288 in words is "one billion, one hundred sixteen million, one hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 83 136 152 166 272 304 323 332 544 608 646 664 1292 1301 1328 1411 1577 2584 2602 2656 2822 3154 5168 5204 5644 6308 10336 10408 11288 12616 20816 22117 22576 24719 25232 26809 41632 44234 45152 49438 50464 53618 88468 98876 107236 107983 176936 197752 214472 215966 353872 395504 420223 428944 431932 707744 791008 840446 857888 863864 1680892 1727728 1835711 2051677 3361784 3455456 3671422 4103354 6723568 7342844 8206708 13447136 14685688 16413416 29371376 32826832 34878509 58742752 65653664 69757018 139514036 279028072 558056144 1116112288