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112033332 = 223217613001
BaseRepresentation
bin1101010110101…
…11111000110100
321210210212211200
412223113320310
5212140031312
615041132500
72530160535
oct653277064
9253725750
10112033332
1158270334
123162a130
131a297a18
1410c4468c
159c800dc
hex6ad7e34

112033332 has 72 divisors (see below), whose sum is σ = 304871112. Its totient is φ = 34560000.

The previous prime is 112033321. The next prime is 112033343. The reversal of 112033332 is 233330211.

It is an interprime number because it is at equal distance from previous prime (112033321) and next prime (112033343).

It can be written as a sum of positive squares in 4 ways, for example, as 7257636 + 104775696 = 2694^2 + 10236^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35832 + ... + 38832.

It is an arithmetic number, because the mean of its divisors is an integer number (4234321).

Almost surely, 2112033332 is an apocalyptic number.

112033332 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 112033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152435556).

112033332 is an abundant number, since it is smaller than the sum of its proper divisors (192837780).

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

112033332 is a wasteful number, since it uses less digits than its factorization.

112033332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 112033332 is about 10584.5799160855. The cubic root of 112033332 is about 482.0762664623.

Adding to 112033332 its reverse (233330211), we get a palindrome (345363543).

It can be divided in two parts, 11203 and 3332, that added together give a triangular number (14535 = T170).

The spelling of 112033332 in words is "one hundred twelve million, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 2074 2196 3001 3111 4148 6002 6222 9003 9333 12004 12444 18006 18666 27009 36012 37332 51017 54018 102034 108036 153051 183061 204068 306102 366122 459153 549183 612204 732244 918306 1098366 1647549 1836612 2196732 3112037 3295098 6224074 6590196 9336111 12448148 18672222 28008333 37344444 56016666 112033332