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1322133431101 = 72983773101513
BaseRepresentation
bin10011001111010101010…
…010110010001100111101
311200101122202022020202121
4103033111102302030331
5133130212124243401
62451214003522541
7164343461511130
oct23172522621475
94611582266677
101322133431101
1146a79394360a
121942a3989451
13978a4796832
1447dc4d40217
15245d210dca1
hex133d54b233d

1322133431101 has 32 divisors (see below), whose sum is σ = 1584008213760. Its totient is φ = 1079587428864.

The previous prime is 1322133431057. The next prime is 1322133431153. The reversal of 1322133431101 is 1011343312231.

It is not a de Polignac number, because 1322133431101 - 223 = 1322125042493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322133431191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12973521 + ... + 13075033.

It is an arithmetic number, because the mean of its divisors is an integer number (49500256680).

Almost surely, 21322133431101 is an apocalyptic number.

It is an amenable number.

1322133431101 is a deficient number, since it is larger than the sum of its proper divisors (261874782659).

1322133431101 is a wasteful number, since it uses less digits than its factorization.

1322133431101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102405.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 1322133431101 its reverse (1011343312231), we get a palindrome (2333476743332).

The spelling of 1322133431101 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-three million, four hundred thirty-one thousand, one hundred one".

Divisors: 1 7 29 83 203 581 773 2407 5411 16849 22417 64159 101513 156919 449113 710591 1860611 2943877 8425579 13024277 20607139 58979053 78469549 244341791 549286843 1710392537 2275616921 6512972567 15929318447 45590807969 188876204443 1322133431101