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103122023112 = 233243154921503
BaseRepresentation
bin110000000001010001…
…1010011001011001000
3100212011202021112211100
41200002203103023020
53142143214214422
6115212410501400
710310313506463
oct1400243231310
9325152245740
10103122023112
113a80876a299
1217b9b434860
1399555789b4
144dc394c2da
152a383837ac
hex18028d32c8

103122023112 has 96 divisors (see below), whose sum is σ = 285981696000. Its totient is φ = 33551376768.

The previous prime is 103122023107. The next prime is 103122023149. The reversal of 103122023112 is 211320221301.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4784953 + ... + 4806455.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976000).

Almost surely, 2103122023112 is an apocalyptic number.

103122023112 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 103122023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848000).

103122023112 is an abundant number, since it is smaller than the sum of its proper divisors (182859672888).

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

103122023112 is a wasteful number, since it uses less digits than its factorization.

103122023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23107 (or 23100 counting only the distinct ones).

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

Adding to 103122023112 its reverse (211320221301), we get a palindrome (314442244413).

The spelling of 103122023112 in words is "one hundred three billion, one hundred twenty-two million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 1549 3096 3098 4647 6196 9294 12392 13941 18588 21503 27882 37176 43006 55764 64509 66607 86012 111528 129018 133214 172024 193527 199821 258036 266428 387054 399642 516072 532856 599463 774108 799284 924629 1198926 1548216 1598568 1849258 2397852 2773887 3698516 4795704 5547774 7397032 8321661 11095548 16643322 22191096 33286644 33308147 66573288 66616294 99924441 133232588 199848882 266465176 299773323 399697764 599546646 799395528 1199093292 1432250321 2398186584 2864500642 4296750963 5729001284 8593501926 11458002568 12890252889 17187003852 25780505778 34374007704 51561011556 103122023112