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1322334020401 = 11322935103389
BaseRepresentation
bin10011001111100001001…
…111111110001100110001
311200102011201202020112221
4103033201033332030301
5133131120002123101
62451245531121041
7164351445501442
oct23174117761461
94612151666487
101322334020401
1146a887099299
1219433aba3181
13979071c9124
14480038372c9
15245e4a32aa1
hex133e13fe331

1322334020401 has 8 divisors (see below), whose sum is σ = 1334618139240. Its totient is φ = 1310060113152.

The previous prime is 1322334020387. The next prime is 1322334020407. The reversal of 1322334020401 is 1040204332231.

It can be written as a sum of positive squares in 4 ways, for example, as 83567246400 + 1238766774001 = 289080^2 + 1112999^2 .

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 1322334020401 - 221 = 1322331923249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1322334020407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2292586 + ... + 2810803.

It is an arithmetic number, because the mean of its divisors is an integer number (166827267405).

Almost surely, 21322334020401 is an apocalyptic number.

It is an amenable number.

1322334020401 is a deficient number, since it is larger than the sum of its proper divisors (12284118839).

1322334020401 is a wasteful number, since it uses less digits than its factorization.

1322334020401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105795.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1322334020401 its reverse (1040204332231), we get a palindrome (2362538352632).

The spelling of 1322334020401 in words is "one trillion, three hundred twenty-two billion, three hundred thirty-four million, twenty thousand, four hundred one".

Divisors: 1 113 2293 259109 5103389 576682957 11702070977 1322334020401