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1322233132001 is a prime number
BaseRepresentation
bin10011001111011011001…
…111000111001111100001
311200101220200220120200112
4103033123033013033201
5133130413140211001
62451231524501105
7164346112116245
oct23173317071741
94611820816615
101322233132001
1146a835150351
1219431124a795
13978bc334152
1447dd4294425
15245dac54cbb
hex133db3c73e1

1322233132001 has 2 divisors, whose sum is σ = 1322233132002. Its totient is φ = 1322233132000.

The previous prime is 1322233131977. The next prime is 1322233132109. The reversal of 1322233132001 is 1002313322231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1188642882001 + 133590250000 = 1090249^2 + 365500^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322233132001 - 214 = 1322233115617 is a prime.

It is a super-3 number, since 3×13222331320013 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1322233132601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661116566000 + 661116566001.

It is an arithmetic number, because the mean of its divisors is an integer number (661116566001).

Almost surely, 21322233132001 is an apocalyptic number.

It is an amenable number.

1322233132001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322233132001 is an equidigital number, since it uses as much as digits as its factorization.

1322233132001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1322233132001 its reverse (1002313322231), we get a palindrome (2324546454232).

The spelling of 1322233132001 in words is "one trillion, three hundred twenty-two billion, two hundred thirty-three million, one hundred thirty-two thousand, one".