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132122012312133 = 32471049297755179
BaseRepresentation
bin11110000010101000001101…
…100111000110001001000101
3122022210202000012112210112100
4132002220031213012021011
5114304141340122442013
61145000003050142313
736554333426563254
oct3602501547061105
9568722005483470
10132122012312133
11391096a359a008
121299a16a721999
13589508ab9c04c
14248aa4d33679b
151041be4022473
hex782a0d9c6245

132122012312133 has 24 divisors (see below), whose sum is σ = 195089193936000. Its totient is φ = 86125089726144.

The previous prime is 132122012312123. The next prime is 132122012312141. The reversal of 132122012312133 is 331213210221231.

132122012312133 is a `hidden beast` number, since 1 + 3 + 2 + 12 + 201 + 2 + 312 + 133 = 666.

It is not a de Polignac number, because 132122012312133 - 24 = 132122012312117 is a prime.

It is a super-2 number, since 2×1321220123121332 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132122012312097 and 132122012312106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122012312123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148433863 + ... + 149321316.

It is an arithmetic number, because the mean of its divisors is an integer number (8128716414000).

Almost surely, 2132122012312133 is an apocalyptic number.

It is an amenable number.

132122012312133 is a deficient number, since it is larger than the sum of its proper divisors (62967181623867).

132122012312133 is a wasteful number, since it uses less digits than its factorization.

132122012312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297756281 (or 297756278 counting only the distinct ones).

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

Adding to 132122012312133 its reverse (331213210221231), we get a palindrome (463335222533364).

The spelling of 132122012312133 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, twelve million, three hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 47 141 423 1049 3147 9441 49303 147909 443727 297755179 893265537 2679796611 13994493413 41983480239 125950440717 312345182771 937035548313 2811106644939 14680223590237 44040670770711 132122012312133