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132220135014413 = 2954132992554583
BaseRepresentation
bin11110000100000011100110…
…001011100000000000001101
3122100011010021112201112102212
4132010003212023200000031
5114312243314030430123
61145113031432200205
736564406130024465
oct3604034613400015
9570133245645385
10132220135014413
1139147276275596
12129b5193839065
1358a13c7796324
1424916bad1cba5
151044538535878
hex7840e62e000d

132220135014413 has 16 divisors (see below), whose sum is σ = 137073868272000. Its totient is φ = 127386172912320.

The previous prime is 132220135014347. The next prime is 132220135014421. The reversal of 132220135014413 is 314410531022231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132220135014413 - 234 = 132202955145229 is a prime.

It is a super-2 number, since 2×1322201350144132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132220135014413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220138014413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50480720 + ... + 53035302.

It is an arithmetic number, because the mean of its divisors is an integer number (8567116767000).

Almost surely, 2132220135014413 is an apocalyptic number.

It is an amenable number.

132220135014413 is a deficient number, since it is larger than the sum of its proper divisors (4853733257587).

132220135014413 is a wasteful number, since it uses less digits than its factorization.

132220135014413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558452.

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 132220135014413 its reverse (314410531022231), we get a palindrome (446630666036644).

The spelling of 132220135014413 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred thirty-five million, fourteen thousand, four hundred thirteen".

Divisors: 1 29 541 3299 15689 95671 1784759 2554583 51758011 74082907 1382029403 8427569317 40078852687 244399510193 4559315000497 132220135014413