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103412121104 = 24193710984347
BaseRepresentation
bin110000001001111010…
…1111011111000010000
3100212220222011001110102
41200103311323320100
53143242000333404
6115301252351532
710320435345305
oct1402365737020
9325828131412
10103412121104
113a9474a01a6
12180606155a8
1399a06ba706
1450102a50ac
152a53a8871e
hex1813d7be10

103412121104 has 80 divisors (see below), whose sum is σ = 218596276800. Its totient is φ = 47222963712.

The previous prime is 103412121103. The next prime is 103412121121. The reversal of 103412121104 is 401121214301.

103412121104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (103412121103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183859 + ... + 1268205.

It is an arithmetic number, because the mean of its divisors is an integer number (2732453460).

Almost surely, 2103412121104 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 103412121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109298138400).

103412121104 is an abundant number, since it is smaller than the sum of its proper divisors (115184155696).

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

103412121104 is a wasteful number, since it uses less digits than its factorization.

103412121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84520 (or 84514 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 103412121104 its reverse (401121214301), we get a palindrome (504533335405).

The spelling of 103412121104 in words is "one hundred three billion, four hundred twelve million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 19 37 38 74 76 109 148 152 218 296 304 436 592 703 872 1406 1744 2071 2812 4033 4142 5624 8066 8284 11248 16132 16568 32264 33136 64528 76627 84347 153254 168694 306508 337388 613016 674776 1226032 1349552 1602593 3120839 3205186 6241678 6410372 9193823 12483356 12820744 18387646 24966712 25641488 36775292 49933424 59295941 73550584 118591882 147101168 174682637 237183764 340171451 349365274 474367528 680342902 698730548 948735056 1360685804 1397461096 2721371608 2794922192 5442743216 6463257569 12926515138 25853030276 51706060552 103412121104