Search a number
-
+
12102033312 = 2533101138683
BaseRepresentation
bin10110100010101011…
…00101111110100000
31011020102002222202000
423101111211332200
5144241110031222
65320512324000
7605620404645
oct132125457640
934212088660
1012102033312
115150311826
122418b43600
1311ab33a975
1482b3bbdcc
154ac6c79ac
hex2d1565fa0

12102033312 has 96 divisors (see below), whose sum is σ = 35647335360. Its totient is φ = 3994041600.

The previous prime is 12102033311. The next prime is 12102033313. The reversal of 12102033312 is 21333020121.

12102033312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12102033311) and next prime (12102033313).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12102033311) 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 15 ways as a sum of consecutive naturals, for example, 17923 + ... + 156605.

It is an arithmetic number, because the mean of its divisors is an integer number (371326410).

Almost surely, 212102033312 is an apocalyptic number.

12102033312 is a gapful number since it is divisible by the number (12) 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 12102033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17823667680).

12102033312 is an abundant number, since it is smaller than the sum of its proper divisors (23545302048).

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

12102033312 is a wasteful number, since it uses less digits than its factorization.

12102033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138803 (or 138789 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12102033312 its reverse (21333020121), we get a palindrome (33435053433).

The spelling of 12102033312 in words is "twelve billion, one hundred two million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 101 108 144 202 216 288 303 404 432 606 808 864 909 1212 1616 1818 2424 2727 3232 3636 4848 5454 7272 9696 10908 14544 21816 29088 43632 87264 138683 277366 416049 554732 832098 1109464 1248147 1664196 2218928 2496294 3328392 3744441 4437856 4992588 6656784 7488882 9985176 13313568 14006983 14977764 19970352 28013966 29955528 39940704 42020949 56027932 59911056 84041898 112055864 119822112 126062847 168083796 224111728 252125694 336167592 378188541 448223456 504251388 672335184 756377082 1008502776 1344670368 1512754164 2017005552 3025508328 4034011104 6051016656 12102033312