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1322213122313 = 17893613241877
BaseRepresentation
bin10011001111011010000…
…010110010000100001001
311200101212022020222112222
4103033122002302010021
5133130343024403223
62451225531543425
7164345450050046
oct23173202620411
94611768228488
101322213122313
1146a824923816
121943065bab75
13978b81494b5
1447dd17661cd
15245d91010c8
hex133da0b2109

1322213122313 has 16 divisors (see below), whose sum is σ = 1416118289040. Its totient is φ = 1230107805696.

The previous prime is 1322213122309. The next prime is 1322213122429. The reversal of 1322213122313 is 3132213122231.

It can be written as a sum of positive squares in 8 ways, for example, as 618278698249 + 703934424064 = 786307^2 + 839008^2 .

It is not a de Polignac number, because 1322213122313 - 22 = 1322213122309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1322213182313) 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, 5345531 + ... + 5587407.

It is an arithmetic number, because the mean of its divisors is an integer number (88507393065).

Almost surely, 21322213122313 is an apocalyptic number.

It is an amenable number.

1322213122313 is a deficient number, since it is larger than the sum of its proper divisors (93905166727).

1322213122313 is a wasteful number, since it uses less digits than its factorization.

1322213122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245596.

The product of its digits is 2592, while the sum is 26.

Adding to 1322213122313 its reverse (3132213122231), we get a palindrome (4454426244544).

The spelling of 1322213122313 in words is "one trillion, three hundred twenty-two billion, two hundred thirteen million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 17 89 1513 3613 61421 241877 321557 4111909 5466469 21527053 365959901 873901601 14856327217 77777242489 1322213122313