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103100331120 = 24351725269689
BaseRepresentation
bin110000000000101000…
…0100011010001110000
3100212010020110111000020
41200001100203101300
53142122141043440
6115210313523440
710306631232513
oct1400120432160
9325106414006
10103100331120
113a7a74a3826
1217b94113580
139950c223b7
144dc0b02d7a
152a364eb3d0
hex1801423470

103100331120 has 80 divisors (see below), whose sum is σ = 338411688480. Its totient is φ = 25876160512.

The previous prime is 103100331107. The next prime is 103100331127. The reversal of 103100331120 is 21133001301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103100331120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103100331127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12630765 + ... + 12638924.

It is an arithmetic number, because the mean of its divisors is an integer number (4230146106).

Almost surely, 2103100331120 is an apocalyptic number.

103100331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103100331120 is an abundant number, since it is smaller than the sum of its proper divisors (235311357360).

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

103100331120 is a wasteful number, since it uses less digits than its factorization.

103100331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25269722 (or 25269716 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103100331120 its reverse (21133001301), we get a palindrome (124233332421).

The spelling of 103100331120 in words is "one hundred three billion, one hundred million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 25269689 50539378 75809067 101078756 126348445 151618134 202157512 252696890 303236268 379045335 404315024 429584713 505393780 606472536 758090670 859169426 1010787560 1212945072 1288754139 1516181340 1718338852 2021575120 2147923565 2577508278 3032362680 3436677704 4295847130 5155016556 6064725360 6443770695 6873355408 8591694260 10310033112 12887541390 17183388520 20620066224 25775082780 34366777040 51550165560 103100331120