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103010112 = 2632434159
BaseRepresentation
bin1100010001111…
…00111101000000
321011211110022100
412020330331000
5202332310422
614115510400
72360400012
oct610747500
9234743270
10103010112
1153168027
122a5b8400
131845893a
14d9761b2
15909b7ac
hex623cf40

103010112 has 84 divisors (see below), whose sum is σ = 302199040. Its totient is φ = 33530112.

The previous prime is 103010099. The next prime is 103010129. The reversal of 103010112 is 211010301.

It is a super-2 number, since 2×1030101122 = 21222166348505088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 103010094 and 103010103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22689 + ... + 26847.

Almost surely, 2103010112 is an apocalyptic number.

103010112 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 103010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151099520).

103010112 is an abundant number, since it is smaller than the sum of its proper divisors (199188928).

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

103010112 is a wasteful number, since it uses less digits than its factorization.

103010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 103010112 is about 10149.3897353486. The cubic root of 103010112 is about 468.7701542268.

Adding to 103010112 its reverse (211010301), we get a palindrome (314020413).

The spelling of 103010112 in words is "one hundred three million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2064 2752 3096 4128 4159 6192 8256 8318 12384 12477 16636 24768 24954 33272 37431 49908 66544 74862 99816 133088 149724 178837 199632 266176 299448 357674 399264 536511 598896 715348 798528 1073022 1197792 1430696 1609533 2146044 2395584 2861392 3219066 4292088 5722784 6438132 8584176 11445568 12876264 17168352 25752528 34336704 51505056 103010112