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103340113400 = 235217233130447
BaseRepresentation
bin110000000111110001…
…1001111110111111000
3100212201221122200110102
41200033203033313320
53143120032112100
6115250201134532
710315602320306
oct1401743176770
9325657580412
10103340113400
113a90a8887a7
121804048a448
13998b7c80c4
1450048bd276
152a4c5b2cd5
hex180f8cfdf8

103340113400 has 96 divisors (see below), whose sum is σ = 255492843840. Its totient is φ = 38737244160.

The previous prime is 103340113363. The next prime is 103340113427. The reversal of 103340113400 is 4311043301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726977 + ... + 857423.

It is an arithmetic number, because the mean of its divisors is an integer number (2661383790).

Almost surely, 2103340113400 is an apocalyptic number.

103340113400 is a gapful number since it is divisible by the number (10) 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 103340113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127746421920).

103340113400 is an abundant number, since it is smaller than the sum of its proper divisors (152152730440).

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

103340113400 is a wasteful number, since it uses less digits than its factorization.

103340113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130713 (or 130704 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103340113400 its reverse (4311043301), we get a palindrome (107651156701).

The spelling of 103340113400 in words is "one hundred three billion, three hundred forty million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 233 340 425 466 680 850 932 1165 1700 1864 2330 3400 3961 4660 5825 7922 9320 11650 15844 19805 23300 31688 39610 46600 79220 99025 130447 158440 198050 260894 396100 521788 652235 792200 1043576 1304470 2217599 2608940 3261175 4435198 5217880 6522350 8870396 11087995 13044700 17740792 22175990 26089400 30394151 44351980 55439975 60788302 88703960 110879950 121576604 151970755 221759900 243153208 303941510 443519800 516700567 607883020 759853775 1033401134 1215766040 1519707550 2066802268 2583502835 3039415100 4133604536 5167005670 6078830200 10334011340 12917514175 20668022680 25835028350 51670056700 103340113400