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131422414020021 = 32536736711204957
BaseRepresentation
bin11101111000011100101010…
…010011011001110110110101
3122020022212012222221021102100
4131320130222103121312311
5114211211100442120041
61143302342402532313
736452645635323615
oct3570345223316665
9566285188837370
10131422414020021
1138969a295a2503
12128a6664667099
135844107a20ba7
142464c4351ca45
15102d8ea3696b6
hex77872a4d9db5

131422414020021 has 48 divisors (see below), whose sum is σ = 196835794032384. Its totient is φ = 84448078146432.

The previous prime is 131422414020011. The next prime is 131422414020091. The reversal of 131422414020021 is 120020414224131.

131422414020021 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 22 + 414 + 0 + 200 + 21 = 666.

It is not a de Polignac number, because 131422414020021 - 221 = 131422411922869 is a prime.

It is a super-3 number, since 3×1314224140200213 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131422414020011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6126475 + ... + 17331431.

It is an arithmetic number, because the mean of its divisors is an integer number (4100745709008).

Almost surely, 2131422414020021 is an apocalyptic number.

It is an amenable number.

131422414020021 is a deficient number, since it is larger than the sum of its proper divisors (65413380012363).

131422414020021 is a wasteful number, since it uses less digits than its factorization.

131422414020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11205450 (or 11205447 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 131422414020021 its reverse (120020414224131), we get a palindrome (251442828244152).

The spelling of 131422414020021 in words is "one hundred thirty-one trillion, four hundred twenty-two billion, four hundred fourteen million, twenty thousand, twenty-one".

Divisors: 1 3 9 53 67 159 201 367 477 603 1101 3303 3551 10653 19451 24589 31959 58353 73767 175059 221301 1303217 3909651 11204957 11728953 33614871 100844613 593862721 750732119 1781588163 2252196357 4112219219 5344764489 6756589071 12336657657 37009972971 39788802307 119366406921 217947618607 275518687673 358099220763 653842855821 826556063019 1961528567463 2479668189057 14602490446669 43807471340007 131422414020021