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112331034 = 23223247251
BaseRepresentation
bin1101011001000…
…00100100011010
321211101000012200
412230200210122
5212224043114
615051351030
72532540504
oct654404432
9254330180
10112331034
1158453a72
1231752476
131a37038a
1410cc0d74
159cdd409
hex6b2091a

112331034 has 72 divisors (see below), whose sum is σ = 260874432. Its totient is φ = 34914000.

The previous prime is 112331029. The next prime is 112331039. The reversal of 112331034 is 430133211.

It is an interprime number because it is at equal distance from previous prime (112331029) and next prime (112331039).

It is a super-2 number, since 2×1123310342 = 25236522399018312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112330998 and 112331016.

It is not an unprimeable number, because it can be changed into a prime (112331039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447409 + ... + 447659.

It is an arithmetic number, because the mean of its divisors is an integer number (3623256).

Almost surely, 2112331034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112331034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130437216).

112331034 is an abundant number, since it is smaller than the sum of its proper divisors (148543398).

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

112331034 is a wasteful number, since it uses less digits than its factorization.

112331034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 326 counting only the distinct ones).

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

The square root of 112331034 is about 10598.6335911758. The cubic root of 112331034 is about 482.5028899037.

Adding to 112331034 its reverse (430133211), we get a palindrome (542464245).

The spelling of 112331034 in words is "one hundred twelve million, three hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 23 46 47 69 94 138 141 207 251 282 414 423 502 529 753 846 1058 1081 1506 1587 2162 2259 3174 3243 4518 4761 5773 6486 9522 9729 11546 11797 17319 19458 23594 24863 34638 35391 49726 51957 70782 74589 103914 106173 132779 149178 212346 223767 265558 271331 398337 447534 542662 796674 813993 1195011 1627986 2390022 2441979 4883958 6240613 12481226 18721839 37443678 56165517 112331034