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1322011133113 = 112931133685017
BaseRepresentation
bin10011001111001110000…
…000010000010010111001
311200101100020011212110111
4103033032000100102321
5133124434322224423
62451153514344321
7164340445136206
oct23171600202271
94611306155414
101322011133113
1146a7309022a0
1219426aa2b0a1
1397885346968
1447db29c6cad
15245c650260d
hex133ce0104b9

1322011133113 has 16 divisors (see below), whose sum is σ = 1540051407360. Its totient is φ = 1122954134400.

The previous prime is 1322011133101. The next prime is 1322011133117. The reversal of 1322011133113 is 3113311102231.

It is a cyclic number.

It is not a de Polignac number, because 1322011133113 - 29 = 1322011132601 is a prime.

It is a super-3 number, since 3×13220111331133 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1322011133117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66832620 + ... + 66852397.

It is an arithmetic number, because the mean of its divisors is an integer number (96253212960).

Almost surely, 21322011133113 is an apocalyptic number.

It is an amenable number.

1322011133113 is a deficient number, since it is larger than the sum of its proper divisors (218040274247).

1322011133113 is a wasteful number, since it uses less digits than its factorization.

1322011133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133685088.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1322011133113 its reverse (3113311102231), we get a palindrome (4435322235344).

The spelling of 1322011133113 in words is "one trillion, three hundred twenty-two billion, eleven million, one hundred thirty-three thousand, one hundred thirteen".

Divisors: 1 11 29 31 319 341 899 9889 133685017 1470535187 3876865493 4144235527 42645520423 45586590797 120182830283 1322011133113