Search a number
-
+
1311320111232 = 27315919214517
BaseRepresentation
bin10011000101010000110…
…001001111100010000000
311122100202011010200112010
4103011100301033202000
5132441040422024412
62442225004532520
7163511510015205
oct23052061174200
94570664120463
101311320111232
1146614502031a
12192186551140
1396870441801
144767ab85cac
152419cb4733c
hex13150c4f880

1311320111232 has 64 divisors (see below), whose sum is σ = 3483429091200. Its totient is φ = 437077208064.

The previous prime is 1311320111209. The next prime is 1311320111237. The reversal of 1311320111232 is 2321110231131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1311320111199 and 1311320111208.

It is not an unprimeable number, because it can be changed into a prime (1311320111237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6005638 + ... + 6220154.

It is an arithmetic number, because the mean of its divisors is an integer number (54428579550).

Almost surely, 21311320111232 is an apocalyptic number.

1311320111232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311320111232 is an abundant number, since it is smaller than the sum of its proper divisors (2172108979968).

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

1311320111232 is a wasteful number, since it uses less digits than its factorization.

1311320111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230453 (or 230441 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1311320111232 its reverse (2321110231131), we get a palindrome (3632430342363).

The spelling of 1311320111232 in words is "one trillion, three hundred eleven billion, three hundred twenty million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 15919 31838 47757 63676 95514 127352 191028 214517 254704 382056 429034 509408 643551 764112 858068 1018816 1287102 1528224 1716136 2037632 2574204 3056448 3432272 5148408 6112896 6864544 10296816 13729088 20593632 27458176 41187264 82374528 3414896123 6829792246 10244688369 13659584492 20489376738 27319168984 40978753476 54638337968 81957506952 109276675936 163915013904 218553351872 327830027808 437106703744 655660055616 1311320111232