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1322312020321 = 10199713131593
BaseRepresentation
bin10011001111011111111…
…100000011000101100001
311200102010012100112010011
4103033133330003011201
5133131043334122241
62451243423404521
7164351060502325
oct23173774030541
94612105315104
101322312020321
1146a875732306
12194333753741
1397902795526
144800094b985
15245e2b39281
hex133dff03161

1322312020321 has 8 divisors (see below), whose sum is σ = 1336743742824. Its totient is φ = 1307906563200.

The previous prime is 1322312020261. The next prime is 1322312020327. The reversal of 1322312020321 is 1230202132231.

It can be written as a sum of positive squares in 4 ways, for example, as 972955368225 + 349356652096 = 986385^2 + 591064^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1322312020321 - 27 = 1322312020193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1322312020292 and 1322312020301.

It is not an unprimeable number, because it can be changed into a prime (1322312020327) 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, 6465100 + ... + 6666493.

It is an arithmetic number, because the mean of its divisors is an integer number (167092967853).

Almost surely, 21322312020321 is an apocalyptic number.

It is an amenable number.

1322312020321 is a deficient number, since it is larger than the sum of its proper divisors (14431722503).

1322312020321 is a wasteful number, since it uses less digits than its factorization.

1322312020321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13132691.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1322312020321 its reverse (1230202132231), we get a palindrome (2552514152552).

The spelling of 1322312020321 in words is "one trillion, three hundred twenty-two billion, three hundred twelve million, twenty thousand, three hundred twenty-one".

Divisors: 1 101 997 100697 13131593 1326290893 13092198221 1322312020321