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103226112 = 2832114073
BaseRepresentation
bin1100010011100…
…01101100000000
321012020102121100
412021301230000
5202411213422
614124254400
72362256523
oct611615400
9235212540
10103226112
11532a5340
122a6a1400
1318503052
14d9d0bba
1590e07ac
hex6271b00

103226112 has 108 divisors (see below), whose sum is σ = 324762984. Its totient is φ = 31272960.

The previous prime is 103226099. The next prime is 103226117. The reversal of 103226112 is 211622301.

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

It is not an unprimeable number, because it can be changed into a prime (103226117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23308 + ... + 27380.

Almost surely, 2103226112 is an apocalyptic number.

103226112 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 103226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162381492).

103226112 is an abundant number, since it is smaller than the sum of its proper divisors (221536872).

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

103226112 is a wasteful number, since it uses less digits than its factorization.

103226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103226112 is about 10160.0251968191. The cubic root of 103226112 is about 469.0975773017.

Adding to 103226112 its reverse (211622301), we get a palindrome (314848413).

The spelling of 103226112 in words is "one hundred three million, two hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4073 4224 6336 8146 8448 12219 12672 16292 24438 25344 32584 36657 44803 48876 65168 73314 89606 97752 130336 134409 146628 179212 195504 260672 268818 293256 358424 391008 403227 521344 537636 586512 716848 782016 806454 1042688 1075272 1173024 1433696 1564032 1612908 2150544 2346048 2867392 3128064 3225816 4301088 4692096 5734784 6451632 8602176 9384192 11469568 12903264 17204352 25806528 34408704 51613056 103226112