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103026112 = 267417179
BaseRepresentation
bin1100010010000…
…00110111000000
321011212021020221
412021000313000
5202333313422
614120112424
72360464450
oct611006700
9234767227
10103026112
1153179052
122a605714
1318462cc7
14d97bd60
1590a13c7
hex6240dc0

103026112 has 112 divisors (see below), whose sum is σ = 245790720. Its totient is φ = 41932800.

The previous prime is 103026109. The next prime is 103026139. The reversal of 103026112 is 211620301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1030261122 = 21228759507673088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 1304089 + ... + 1304167.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2103026112 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 103026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

103026112 is an abundant number, since it is smaller than the sum of its proper divisors (142764608).

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

103026112 is an equidigital number, since it uses as much as digits as its factorization.

103026112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 103026112 is about 10150.1779294749. The cubic root of 103026112 is about 468.7944234758.

Adding to 103026112 its reverse (211620301), we get a palindrome (314646413).

The spelling of 103026112 in words is "one hundred three million, twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 71 79 82 112 142 158 164 224 284 287 316 328 448 497 553 568 574 632 656 994 1106 1136 1148 1264 1312 1988 2212 2272 2296 2528 2624 2911 3239 3976 4424 4544 4592 5056 5609 5822 6478 7952 8848 9184 11218 11644 12956 15904 17696 18368 20377 22436 22673 23288 25912 31808 35392 39263 40754 44872 45346 46576 51824 78526 81508 89744 90692 93152 103648 157052 163016 179488 181384 186304 207296 229969 314104 326032 358976 362768 459938 628208 652064 725536 919876 1256416 1304128 1451072 1609783 1839752 2512832 3219566 3679504 6439132 7359008 12878264 14718016 25756528 51513056 103026112