Search a number
-
+
121310103222132 = 2231137162715266299
BaseRepresentation
bin11011100101010010110101…
…100111000011011101110100
3120220112010120200010100102220
4123211102311213003131310
5111400021042411102012
61110001031515402340
734360236305632626
oct3345226547033564
9526463520110386
10121310103222132
11357203647a2760
12117328641533b0
13528c655712856
1421d562436ac16
15e0584a52808c
hex6e54b59c3774

121310103222132 has 96 divisors (see below), whose sum is σ = 317329952755200. Its totient is φ = 35745120789120.

The previous prime is 121310103222109. The next prime is 121310103222149. The reversal of 121310103222132 is 231222301013121.

It is a super-2 number, since 2×1213101032221322 (a number of 29 digits) contains 22 as substring.

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, 313119 + ... + 15579417.

It is an arithmetic number, because the mean of its divisors is an integer number (3305520341200).

Almost surely, 2121310103222132 is an apocalyptic number.

121310103222132 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 121310103222132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158664976377600).

121310103222132 is an abundant number, since it is smaller than the sum of its proper divisors (196019849533068).

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

121310103222132 is a wasteful number, since it uses less digits than its factorization.

121310103222132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15267981 (or 15267979 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 121310103222132 its reverse (231222301013121), we get a palindrome (352532404235253).

The spelling of 121310103222132 in words is "one hundred twenty-one trillion, three hundred ten billion, one hundred three million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1627 1628 2442 3254 4881 4884 6508 9762 17897 19524 35794 53691 60199 71588 107382 120398 180597 214764 240796 361194 662189 722388 1324378 1986567 2648756 3973134 7946268 15266299 30532598 45798897 61065196 91597794 167929289 183195588 335858578 503787867 564853063 671717156 1007575734 1129706126 1694559189 2015151468 2259412252 3389118378 6213383693 6778236756 12426767386 18640151079 24838268473 24853534772 37280302158 49676536946 74514805419 74560604316 99353073892 149029610838 273220953203 298059221676 546441906406 819662859609 919015933501 1092883812812 1639325719218 1838031867002 2757047800503 3278651438436 3676063734004 5514095601006 10109175268511 11028191202012 20218350537022 30327525805533 40436701074044 60655051611066 121310103222132