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12020010210 = 23251334929437
BaseRepresentation
bin10110011000111001…
…01100110011100010
31011000200202210012100
423030130230303202
5144104110311320
65304422311230
7603603254355
oct131434546342
934020683170
1012020010210
115108a8963a
1223b5588516
13119734c7a0
1482054a29c
154a53c4790
hex2cc72cce2

12020010210 has 96 divisors (see below), whose sum is σ = 33753610800. Its totient is φ = 2950193664.

The previous prime is 12020010209. The next prime is 12020010227. The reversal of 12020010210 is 1201002021.

12020010210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7974668601 + 4045341609 = 89301^2 + 63603^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12020010192 and 12020010201.

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 47 ways as a sum of consecutive naturals, for example, 393612 + ... + 423048.

Almost surely, 212020010210 is an apocalyptic number.

12020010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16876805400).

12020010210 is an abundant number, since it is smaller than the sum of its proper divisors (21733600590).

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

12020010210 is a wasteful number, since it uses less digits than its factorization.

12020010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29812 (or 29809 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12020010210 its reverse (1201002021), we get a palindrome (13221012231).

The spelling of 12020010210 in words is "twelve billion, twenty million, ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 349 390 585 698 1047 1170 1745 2094 3141 3490 4537 5235 6282 9074 10470 13611 15705 22685 27222 29437 31410 40833 45370 58874 68055 81666 88311 136110 147185 176622 204165 264933 294370 382681 408330 441555 529866 765362 883110 1148043 1324665 1913405 2296086 2649330 3444129 3826810 5740215 6888258 10273513 11480430 17220645 20547026 30820539 34441290 51367565 61641078 92461617 102735130 133555669 154102695 184923234 267111338 308205390 400667007 462308085 667778345 801334014 924616170 1202001021 1335556690 2003335035 2404002042 4006670070 6010005105 12020010210