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103110000120 = 23325377740991
BaseRepresentation
bin110000000000111010…
…1011011110111111000
3100212010220122201101100
41200001311123313320
53142132130000440
6115211301051400
710310106353151
oct1400165336770
9325126581340
10103110000120
113a8019a8236
1217b973b6b60
139952c293ba
144dc20dc928
152a372ab230
hex1801d5bdf8

103110000120 has 96 divisors (see below), whose sum is σ = 344164504320. Its totient is φ = 26752861440.

The previous prime is 103110000043. The next prime is 103110000121. The reversal of 103110000120 is 21000011301.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103110000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3857176 + ... + 3883815.

It is an arithmetic number, because the mean of its divisors is an integer number (3585046920).

Almost surely, 2103110000120 is an apocalyptic number.

103110000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103110000120 is an abundant number, since it is smaller than the sum of its proper divisors (241054504200).

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

103110000120 is a wasteful number, since it uses less digits than its factorization.

103110000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7741045 (or 7741038 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 103110000120 its reverse (21000011301), we get a palindrome (124110011421).

The spelling of 103110000120 in words is "one hundred three billion, one hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 7740991 15481982 23222973 30963964 38704955 46445946 61927928 69668919 77409910 92891892 116114865 139337838 154819820 185783784 232229730 278675676 286416667 309639640 348344595 464459460 557351352 572833334 696689190 859250001 928918920 1145666668 1393378380 1432083335 1718500002 2291333336 2577750003 2786756760 2864166670 3437000004 4296250005 5155500006 5728333340 6874000008 8592500010 10311000012 11456666680 12888750015 17185000020 20622000024 25777500030 34370000040 51555000060 103110000120