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103112412 = 223131759659
BaseRepresentation
bin1100010010101…
…01111011011100
321012000122122020
412021111323130
5202344044122
614122020140
72361304164
oct611257334
9235018566
10103112412
1153227977
122a647650
1318493380
14d9a15a4
1590bbc5c
hex6255edc

103112412 has 96 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 29309952.

The previous prime is 103112393. The next prime is 103112431. The reversal of 103112412 is 214211301.

It is an interprime number because it is at equal distance from previous prime (103112393) and next prime (103112431).

It is a junction number, because it is equal to n+sod(n) for n = 103112391 and 103112400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156139 + ... + 156797.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2103112412 is an apocalyptic number.

103112412 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 103112412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

103112412 is an abundant number, since it is smaller than the sum of its proper divisors (176305188).

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

103112412 is a wasteful number, since it uses less digits than its factorization.

103112412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 103112412 is about 10154.4281966047. The cubic root of 103112412 is about 468.9252824297.

Adding to 103112412 its reverse (214211301), we get a palindrome (317323713).

The spelling of 103112412 in words is "one hundred three million, one hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 59 68 78 102 118 156 177 204 221 236 354 442 659 663 708 767 884 1003 1318 1326 1534 1977 2006 2301 2636 2652 3009 3068 3954 4012 4602 6018 7908 8567 9204 11203 12036 13039 17134 22406 25701 26078 33609 34268 38881 39117 44812 51402 52156 67218 77762 78234 102804 116643 134436 145639 155524 156468 233286 291278 436917 466572 505453 582556 660977 873834 1010906 1321954 1516359 1747668 1982931 2021812 2643908 3032718 3965862 6065436 7931724 8592701 17185402 25778103 34370804 51556206 103112412