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12023300020 = 2254173353569
BaseRepresentation
bin10110011001010010…
…01111111110110100
31011000220221220222011
423030221033332310
5144110431100040
65305021014004
7603643235554
oct131451177664
934026856864
1012023300020
11510a926296
1223b66b4304
131197c32014
14820b65164
154a58243ea
hex2cca4ffb4

12023300020 has 96 divisors (see below), whose sum is σ = 26339554080. Its totient is φ = 4606525440.

The previous prime is 12023300011. The next prime is 12023300033. The reversal of 12023300020 is 2000332021.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 7870528656 + 4152771364 = 88716^2 + 64442^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21130296 + ... + 21130864.

It is an arithmetic number, because the mean of its divisors is an integer number (274370355).

Almost surely, 212023300020 is an apocalyptic number.

12023300020 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 12023300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13169777040).

12023300020 is an abundant number, since it is smaller than the sum of its proper divisors (14316254060).

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

12023300020 is a wasteful number, since it uses less digits than its factorization.

12023300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 12023300020 its reverse (2000332021), we get a palindrome (14023632041).

The spelling of 12023300020 in words is "twelve billion, twenty-three million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 353 365 410 569 706 730 820 1138 1412 1460 1765 2276 2845 2993 3530 5690 5986 7060 11380 11972 14473 14965 23329 25769 28946 29930 41537 46658 51538 57892 59860 72365 83074 93316 103076 116645 128845 144730 166148 200857 207685 233290 257690 289460 401714 415370 466580 515380 803428 830740 1004285 1056529 1703017 2008570 2113058 3406034 4017140 4226116 5282645 6812068 8235137 8515085 10565290 14662561 16470274 17030170 21130580 29325122 32940548 34060340 41175685 58650244 73312805 82351370 146625610 164702740 293251220 601165001 1202330002 2404660004 3005825005 6011650010 12023300020