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12002313310 = 2513177397349
BaseRepresentation
bin10110010110110010…
…01100010001011110
31010222110110200121121
423023121030101132
5144040043011220
65302551121154
7603266660041
oct131331142136
933873420547
1012002313310
1150a9aa16a9
1223ab6731ba
131193794750
1481c060c58
154a3a7aeaa
hex2cb64c45e

12002313310 has 64 divisors (see below), whose sum is σ = 24671304000. Its totient is φ = 4164728832.

The previous prime is 12002313289. The next prime is 12002313311. The reversal of 12002313310 is 1331320021.

12002313310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120023133102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002313311) 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 31 ways as a sum of consecutive naturals, for example, 1629516 + ... + 1636864.

It is an arithmetic number, because the mean of its divisors is an integer number (385489125).

Almost surely, 212002313310 is an apocalyptic number.

12002313310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002313310 is an abundant number, since it is smaller than the sum of its proper divisors (12668990690).

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

12002313310 is a wasteful number, since it uses less digits than its factorization.

12002313310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12002313310 its reverse (1331320021), we get a palindrome (13333633331).

The spelling of 12002313310 in words is "twelve billion, two million, three hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 739 1105 1478 2210 3695 7349 7390 9607 12563 14698 19214 25126 36745 48035 62815 73490 95537 96070 124933 125630 163319 191074 249866 326638 477685 624665 816595 955370 1249330 1624129 1633190 3248258 5430911 8120645 10861822 16241290 27154555 54309110 70601843 92325487 141203686 184650974 353009215 461627435 706018430 923254870 1200231331 2400462662 6001156655 12002313310