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123104210020 = 2251125112311811
BaseRepresentation
bin111001010100110010…
…1010010110001100100
3102202202100021211002221
41302221211102301210
54004104134210040
6132315302242124
711615431343251
oct1625145226144
9382670254087
10123104210020
1148232132050
121ba37426344
13b7bb35772c
145d5b718428
15330778174a
hex1ca9952c64

123104210020 has 96 divisors (see below), whose sum is σ = 283530627072. Its totient is φ = 44526000000.

The previous prime is 123104209967. The next prime is 123104210027. The reversal of 123104210020 is 20012401321.

It is a junction number, because it is equal to n+sod(n) for n = 123104209976 and 123104210003.

It is not an unprimeable number, because it can be changed into a prime (123104210027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67974915 + ... + 67976725.

It is an arithmetic number, because the mean of its divisors is an integer number (2953444032).

Almost surely, 2123104210020 is an apocalyptic number.

123104210020 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 123104210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141765313536).

123104210020 is an abundant number, since it is smaller than the sum of its proper divisors (160426417052).

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

123104210020 is a wasteful number, since it uses less digits than its factorization.

123104210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 123104210020 its reverse (20012401321), we get a palindrome (143116611341).

The spelling of 123104210020 in words is "one hundred twenty-three billion, one hundred four million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 251 502 1004 1231 1255 1811 2462 2510 2761 3622 4924 5020 5522 6155 7244 9055 11044 12310 13541 13805 18110 19921 24620 27082 27610 36220 39842 54164 55220 67705 79684 99605 135410 199210 270820 308981 398420 454561 617962 909122 1235924 1544905 1818244 2229341 2272805 3089810 3398791 4458682 4545610 5000171 6179620 6797582 8917364 9091220 10000342 11146705 13595164 16993955 20000684 22293410 24522751 25000855 33987910 44586820 49045502 50001710 67975820 98091004 100003420 122613755 245227510 490455020 559564591 1119129182 2238258364 2797822955 5595645910 6155210501 11191291820 12310421002 24620842004 30776052505 61552105010 123104210020