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111003312 = 24373110657
BaseRepresentation
bin1101001110111…
…00011010110000
321201212112220210
412213130122300
5211404101222
615003104120
72515340550
oct647343260
9251775823
10111003312
1157727482
1231212040
1319cc6c44
1410a57160
159b29d0c
hex69dc6b0

111003312 has 80 divisors (see below), whose sum is σ = 338327552. Its totient is φ = 30689280.

The previous prime is 111003283. The next prime is 111003323. The reversal of 111003312 is 213300111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 5088 + ... + 15744.

Almost surely, 2111003312 is an apocalyptic number.

111003312 is a gapful number since it is divisible by the number (12) 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 111003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169163776).

111003312 is an abundant number, since it is smaller than the sum of its proper divisors (227324240).

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

111003312 is a wasteful number, since it uses less digits than its factorization.

111003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10706 (or 10700 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 111003312 is about 10535.8109322444. The cubic root of 111003312 is about 480.5943332407.

Adding to 111003312 its reverse (213300111), we get a palindrome (324303423).

The spelling of 111003312 in words is "one hundred eleven million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 10657 21314 31971 42628 63942 74599 85256 127884 149198 170512 223797 255768 298396 330367 447594 511536 596792 660734 895188 991101 1193584 1321468 1790376 1982202 2312569 2642936 3580752 3964404 4625138 5285872 6937707 7928808 9250276 13875414 15857616 18500552 27750828 37001104 55501656 111003312