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132002300330021 = 113541243775223
BaseRepresentation
bin11110000000111000101110…
…001110001000000000100101
3122022101022000021100000022002
4132000320232032020000211
5114300211202341030041
61144425004123015045
736542565025534202
oct3600705616100045
9568338007300262
10132002300330021
1139072952275000
121297ab1b36a485
1358869c0578984
142484d34364ca9
15103da394b059b
hex780e2e388025

132002300330021 has 32 divisors (see below), whose sum is σ = 145522614118656. Its totient is φ = 119729533492800.

The previous prime is 132002300329993. The next prime is 132002300330027. The reversal of 132002300330021 is 120033003200231.

It is not a de Polignac number, because 132002300330021 - 242 = 127604253818917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132002300329975 and 132002300330002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132002300330027) 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, 1754775416 + ... + 1754850638.

It is an arithmetic number, because the mean of its divisors is an integer number (4547581691208).

Almost surely, 2132002300330021 is an apocalyptic number.

132002300330021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132002300330021 is a deficient number, since it is larger than the sum of its proper divisors (13520313788635).

132002300330021 is an equidigital number, since it uses as much as digits as its factorization.

132002300330021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78234 (or 78212 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 132002300330021 its reverse (120033003200231), we get a palindrome (252035303530252).

The spelling of 132002300330021 in words is "one hundred thirty-two trillion, two billion, three hundred million, three hundred thirty thousand, twenty-one".

Divisors: 1 11 121 541 1331 2437 5951 26807 65461 75223 294877 720071 827453 1318417 3243647 9101983 14502587 40695643 100121813 159528457 183318451 447652073 1754813027 2016502961 4924172803 22181532571 54165900833 99175281991 243996858281 1090928101901 12000209120911 132002300330021