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132022131323121 = 3513306113653179
BaseRepresentation
bin11110000001001011001100…
…001111010111000011110001
3122022110012012022211211200000
4132001023030033113003301
5114301022311104314441
61144442044014020213
736544166326306464
oct3601131417270361
9568405168754600
10132022131323121
11390802a935a6a6
12129829347a7669
135888830c2b310
142485c960152db
15103e2ea4952b6
hex7812cc3d70f1

132022131323121 has 48 divisors (see below), whose sum is σ = 213043565367360. Its totient is φ = 81217840777920.

The previous prime is 132022131323077. The next prime is 132022131323141. The reversal of 132022131323121 is 121323131220231.

132022131323121 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 213 + 1 + 323 + 121 = 666.

It is not a de Polignac number, because 132022131323121 - 215 = 132022131290353 is a prime.

It is a super-2 number, since 2×1320221313231212 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132022131323141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2843110 + ... + 16496288.

It is an arithmetic number, because the mean of its divisors is an integer number (4438407611820).

Almost surely, 2132022131323121 is an apocalyptic number.

It is an amenable number.

132022131323121 is a deficient number, since it is larger than the sum of its proper divisors (81021434044239).

132022131323121 is a wasteful number, since it uses less digits than its factorization.

132022131323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13656268 (or 13656256 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132022131323121 its reverse (121323131220231), we get a palindrome (253345262543352).

The spelling of 132022131323121 in words is "one hundred thirty-two trillion, twenty-two billion, one hundred thirty-one million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3061 3159 9183 27549 39793 82647 119379 247941 358137 743823 1074411 3223233 9669699 13653179 40959537 122878611 177491327 368635833 532473981 1105907499 1597421943 3317722497 4792265829 14376797487 41792380919 43130392461 125377142757 376131428271 543300951947 1128394284813 1629902855841 3385182854439 4889708567523 10155548563317 14669125702569 44007377107707 132022131323121