Search a number
-
+
1331322323212 = 2271767109382979
BaseRepresentation
bin10011010111111000111…
…111101000000100001100
311201021101010211100001001
4103113320333220010030
5133303022003320322
62455333453430044
7165120260014060
oct23277077500414
94637333740031
101331322323212
11473679820222
1219602919b324
139870a4121bb
1448617485aa0
152496db9d827
hex135f8fe810c

1331322323212 has 96 divisors (see below), whose sum is σ = 2887607923200. Its totient is φ = 524134499328.

The previous prime is 1331322323209. The next prime is 1331322323231. The reversal of 1331322323212 is 2123232231331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 3284739 + ... + 3667717.

It is an arithmetic number, because the mean of its divisors is an integer number (30079249200).

Almost surely, 21331322323212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331322323212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443803961600).

1331322323212 is an abundant number, since it is smaller than the sum of its proper divisors (1556285599988).

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

1331322323212 is a wasteful number, since it uses less digits than its factorization.

1331322323212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383183 (or 383181 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

Adding to 1331322323212 its reverse (2123232231331), we get a palindrome (3454554554543).

The spelling of 1331322323212 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-two million, three hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 67 68 109 119 134 218 238 268 436 469 476 763 938 1139 1526 1853 1876 2278 3052 3706 4556 7303 7412 7973 12971 14606 15946 25942 29212 31892 51121 51884 102242 124151 204484 248302 382979 496604 765958 869057 1531916 1738114 2680853 3476228 5361706 6510643 10723412 13021286 25659593 26042572 41744711 45574501 51319186 83489422 91149002 102638372 166978844 179617151 182298004 292212977 359234302 436213081 584425954 709660087 718468604 872426162 1168851908 1419320174 1744852324 2796895637 2838640348 3053491567 4967620609 5593791274 6106983134 9935241218 11187582548 12213966268 19578269459 19870482436 39156538918 47547225829 78313077836 95094451658 190188903316 332830580803 665661161606 1331322323212