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10123300020 = 2235743322699
BaseRepresentation
bin10010110110110010…
…10100110010110100
3222010111202220221210
421123121110302310
5131213031100040
64352305241420
7505602426141
oct113331246264
928114686853
1010123300020
114325380159
121b66333270
13c543cb472
146c069b3c8
153e3b16480
hex25b654cb4

10123300020 has 48 divisors (see below), whose sum is σ = 28350302400. Its totient is φ = 2699064576.

The previous prime is 10123299931. The next prime is 10123300043. The reversal of 10123300020 is 2000332101.

It is a happy number.

10123300020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10123299969 and 10123300005.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 434631 + ... + 457329.

It is an arithmetic number, because the mean of its divisors is an integer number (590631300).

Almost surely, 210123300020 is an apocalyptic number.

10123300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123300020 is an abundant number, since it is smaller than the sum of its proper divisors (18227002380).

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

10123300020 is a wasteful number, since it uses less digits than its factorization.

10123300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30144 (or 30142 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10123300020 its reverse (2000332101), we get a palindrome (12123632121).

The spelling of 10123300020 in words is "ten billion, one hundred twenty-three million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 7433 14866 22299 22699 29732 37165 44598 45398 68097 74330 89196 90796 111495 113495 136194 148660 222990 226990 272388 340485 445980 453980 680970 1361940 168721667 337443334 506165001 674886668 843608335 1012330002 1687216670 2024660004 2530825005 3374433340 5061650010 10123300020