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110303312 = 2473101199
BaseRepresentation
bin1101001001100…
…01100001010000
321200112222200212
412210301201100
5211214201222
614540103252
72506364000
oct644614120
9250488625
10110303312
1157299569
1230b34b28
1319b10442
1410914000
159a3c6e2
hex6931850

110303312 has 80 divisors (see below), whose sum is σ = 252960000. Its totient is φ = 46569600.

The previous prime is 110303261. The next prime is 110303317. The reversal of 110303312 is 213303011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110303317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554189 + ... + 554387.

It is an arithmetic number, because the mean of its divisors is an integer number (3162000).

Almost surely, 2110303312 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 110303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126480000).

110303312 is an abundant number, since it is smaller than the sum of its proper divisors (142656688).

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

110303312 is a wasteful number, since it uses less digits than its factorization.

110303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 110303312 is about 10502.5383598443. The cubic root of 110303312 is about 479.5819740151.

Adding to 110303312 its reverse (213303011), we get a palindrome (323606323).

The spelling of 110303312 in words is "one hundred ten million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 101 112 196 199 202 343 392 398 404 686 707 784 796 808 1372 1393 1414 1592 1616 2744 2786 2828 3184 4949 5488 5572 5656 9751 9898 11144 11312 19502 19796 20099 22288 34643 39004 39592 40198 68257 69286 78008 79184 80396 136514 138572 140693 156016 160792 273028 277144 281386 321584 546056 554288 562772 984851 1092112 1125544 1969702 2251088 3939404 6893957 7878808 13787914 15757616 27575828 55151656 110303312