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12133102020 = 223513129112049
BaseRepresentation
bin10110100110011000…
…00111000111000100
31011022120120102222220
423103030013013010
5144322033231040
65323542252340
7606445444164
oct132314070704
934276512886
1012133102020
115166902146
1224274270b0
1311b48c8210
148315885a4
154b02b32d0
hex2d33071c4

12133102020 has 96 divisors (see below), whose sum is σ = 36617347200. Its totient is φ = 2984048640.

The previous prime is 12133102013. The next prime is 12133102027. The reversal of 12133102020 is 2020133121.

It is an interprime number because it is at equal distance from previous prime (12133102013) and next prime (12133102027).

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

It is not an unprimeable number, because it can be changed into a prime (12133102027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000956 + ... + 1013004.

It is an arithmetic number, because the mean of its divisors is an integer number (381430700).

Almost surely, 212133102020 is an apocalyptic number.

12133102020 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 12133102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18308673600).

12133102020 is an abundant number, since it is smaller than the sum of its proper divisors (24484245180).

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

12133102020 is a wasteful number, since it uses less digits than its factorization.

12133102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13365 (or 13363 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12133102020 its reverse (2020133121), we get a palindrome (14153235141).

The spelling of 12133102020 in words is "twelve billion, one hundred thirty-three million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1291 2582 3873 5164 6455 7746 12049 12910 15492 16783 19365 24098 25820 33566 36147 38730 48196 50349 60245 67132 72294 77460 83915 100698 120490 144588 156637 167830 180735 201396 240980 251745 313274 335660 361470 469911 503490 626548 722940 783185 939822 1006980 1566370 1879644 2349555 3132740 4699110 9398220 15555259 31110518 46665777 62221036 77776295 93331554 155552590 186663108 202218367 233328885 311105180 404436734 466657770 606655101 808873468 933315540 1011091835 1213310202 2022183670 2426620404 3033275505 4044367340 6066551010 12133102020