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1321320111232 = 27114719966757
BaseRepresentation
bin10011001110100100110…
…100001101110010000000
311200022120001220022122111
4103032210310031302000
5133122030422024412
62451001151345104
7164314354430152
oct23164464156200
94608501808574
101321320111232
1146a406835330
121940b7522194
13977a512bc84
1447d48d08ad2
1524585a052a7
hex133a4d0dc80

1321320111232 has 64 divisors (see below), whose sum is σ = 2932717415040. Its totient is φ = 587821296640.

The previous prime is 1321320111211. The next prime is 1321320111299. The reversal of 1321320111232 is 2321110231231.

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

It is a super-2 number, since 2×13213201112322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9917203 + ... + 10049554.

It is an arithmetic number, because the mean of its divisors is an integer number (45823709610).

Almost surely, 21321320111232 is an apocalyptic number.

It is an amenable number.

1321320111232 is an abundant number, since it is smaller than the sum of its proper divisors (1611397303808).

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

1321320111232 is a wasteful number, since it uses less digits than its factorization.

1321320111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19966829 (or 19966817 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1321320111232 its reverse (2321110231231), we get a palindrome (3642430342463).

The spelling of 1321320111232 in words is "one trillion, three hundred twenty-one billion, three hundred twenty million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 352 376 517 704 752 1034 1408 1504 2068 3008 4136 6016 8272 16544 33088 66176 19966757 39933514 79867028 159734056 219634327 319468112 439268654 638936224 878537308 938437579 1277872448 1757074616 1876875158 2555744896 3514149232 3753750316 7028298464 7507500632 10322813369 14056596928 15015001264 20645626738 28113193856 30030002528 41291253476 60060005056 82582506952 120120010112 165165013904 330330027808 660660055616 1321320111232