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132221102311133 = 11113191739753619
BaseRepresentation
bin11110000100000100011111…
…110101011100011011011101
3122100011012202221212022002022
4132010010133311130123131
5114312302304142424013
61145113311424505525
736564442113640523
oct3604043765343335
9570135687768068
10132221102311133
1139147722291970
12129b540377b2a5
1358a151ccc2c54
14249176d596313
151044593407008
hex78411fd5c6dd

132221102311133 has 32 divisors (see below), whose sum is σ = 146477682892800. Its totient is φ = 118352993875200.

The previous prime is 132221102311127. The next prime is 132221102311189. The reversal of 132221102311133 is 331113201122231.

It is a cyclic number.

It is not a de Polignac number, because 132221102311133 - 212 = 132221102307037 is a prime.

It is a super-2 number, since 2×1322211023111332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132221102311933) 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, 175071398 + ... + 175825016.

It is an arithmetic number, because the mean of its divisors is an integer number (4577427590400).

Almost surely, 2132221102311133 is an apocalyptic number.

It is an amenable number.

132221102311133 is a deficient number, since it is larger than the sum of its proper divisors (14256580581667).

132221102311133 is a wasteful number, since it uses less digits than its factorization.

132221102311133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754673.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 132221102311133 its reverse (331113201122231), we get a palindrome (463334303433364).

The spelling of 132221102311133 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, one hundred two million, three hundred eleven thousand, one hundred thirty-three".

Divisors: 1 11 113 191 739 1243 2101 8129 21583 83507 141149 237413 753619 918577 1552639 8289809 15949837 85158947 143941229 175448207 556924441 936748417 1583353519 6126168851 16265358877 62932461833 106372568231 178918947647 692257080163 1170098250541 12020100210103 132221102311133