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102344112 = 243213232377
BaseRepresentation
bin1100001100110…
…10010110110000
321010120121201200
412012122112300
5202200002422
614053331200
72351624223
oct606322660
9233517650
10102344112
1152852712
122a336b00
1318284760
14d8415ba
158eb92ac
hex619a5b0

102344112 has 120 divisors (see below), whose sum is σ = 322000224. Its totient is φ = 30108672.

The previous prime is 102344107. The next prime is 102344119. The reversal of 102344112 is 211443201.

It is a super-2 number, since 2×1023441122 = 20948634522137088, which contains 22 as substring.

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 (102344119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41868 + ... + 44244.

Almost surely, 2102344112 is an apocalyptic number.

102344112 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 102344112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161000112).

102344112 is an abundant number, since it is smaller than the sum of its proper divisors (219656112).

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

102344112 is a wasteful number, since it uses less digits than its factorization.

102344112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102344112 is about 10116.5266766811. The cubic root of 102344112 is about 467.7577093420.

Adding to 102344112 its reverse (211443201), we get a palindrome (313787313).

The spelling of 102344112 in words is "one hundred two million, three hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 828 897 936 1104 1196 1656 1794 1872 2377 2392 2691 3312 3588 4754 4784 5382 7131 7176 9508 10764 14262 14352 19016 21393 21528 28524 30901 38032 42786 43056 54671 57048 61802 85572 92703 109342 114096 123604 164013 171144 185406 218684 247208 278109 328026 342288 370812 437368 492039 494416 556218 656052 710723 741624 874736 984078 1112436 1312104 1421446 1483248 1968156 2132169 2224872 2624208 2842892 3936312 4264338 4449744 5685784 6396507 7872624 8528676 11371568 12793014 17057352 25586028 34114704 51172056 102344112