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132221112101221 = 11138591747616139
BaseRepresentation
bin11110000100000100100000…
…011010110010100101100101
3122100011012210122021200120011
4132010010200122302211211
5114312302314144214341
61145113312414410221
736564442263104203
oct3604044032624545
9570135718250504
10132221112101221
1139147727869350
12129b5406b00971
1358a15220400c0
1424917709c4073
1510445941dcb81
hex7841206b2965

132221112101221 has 32 divisors (see below), whose sum is σ = 155606797785600. Its totient is φ = 110761994566080.

The previous prime is 132221112101213. The next prime is 132221112101237. The reversal of 132221112101221 is 122101211122231.

It is not a de Polignac number, because 132221112101221 - 23 = 132221112101213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132221112101192 and 132221112101201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132221112101201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214288170 + ... + 214904308.

It is an arithmetic number, because the mean of its divisors is an integer number (4862712430800).

Almost surely, 2132221112101221 is an apocalyptic number.

132221112101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132221112101221 is a deficient number, since it is larger than the sum of its proper divisors (23385685684379).

132221112101221 is a wasteful number, since it uses less digits than its factorization.

132221112101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618769.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 132221112101221 its reverse (122101211122231), we get a palindrome (254322323223452).

The spelling of 132221112101221 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, one hundred twelve million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 11 13 143 859 1747 9449 11167 19217 22711 122837 249821 616139 1500673 6777529 8009807 16507403 19508749 88107877 214596239 529263401 1076394833 5821897411 6880424213 11840343163 13993132829 75684666343 153924461119 924623161547 10170854777017 12020101100111 132221112101221