Search a number
-
+
12000102110022 = 23131131593785429
BaseRepresentation
bin1010111010011111110111…
…0100101101001101000110
31120111012100202012211102010
42232213331310231031012
53033102202120010042
641304434254355050
72345656500643245
oct256477564551506
946435322184363
1012000102110022
11390723a887654
121419849abba86
136907b28c1910
142d6b4539c95c
1515c23bd9059c
hexae9fdd2d346

12000102110022 has 64 divisors (see below), whose sum is σ = 26077044127680. Its totient is φ = 3659391074304.

The previous prime is 12000102109993. The next prime is 12000102110053. The reversal of 12000102110022 is 22001120100021.

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, 140426004 + ... + 140511432.

It is an arithmetic number, because the mean of its divisors is an integer number (407453814495).

Almost surely, 212000102110022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000102110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13038522063840).

12000102110022 is an abundant number, since it is smaller than the sum of its proper divisors (14076942017658).

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

12000102110022 is a wasteful number, since it uses less digits than its factorization.

12000102110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101497.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000102110022 its reverse (22001120100021), we get a palindrome (34001222210043).

The spelling of 12000102110022 in words is "twelve trillion, one hundred two million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 678 1469 2938 4407 8814 15937 31874 47811 85429 95622 170858 207181 256287 414362 512574 621543 1110577 1243086 1800881 2221154 3331731 3601762 5402643 6663462 9653477 10805286 19306954 23411453 28960431 46822906 57920862 70234359 125495201 140468718 250990402 376485603 752971206 1361481973 2722963946 4084445919 8168891838 17699265649 35398531298 53097796947 106195593894 153847462949 307694925898 461542388847 923084777694 2000017018337 4000034036674 6000051055011 12000102110022