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132020203322133 = 3372353282687007
BaseRepresentation
bin11110000001001001011001…
…010100100111101100010101
3122022110000012221222020112000
4132001021121110213230111
5114301004334022302013
61144441124422145513
736544100465465400
oct3601113124475425
9568400187866460
10132020203322133
113907a4aa019a55
1212982496b82299
1358885b4672629
142485b51d3cd37
15103e2360a5973
hex781259527b15

132020203322133 has 48 divisors (see below), whose sum is σ = 228162337896960. Its totient is φ = 75226404540672.

The previous prime is 132020203322099. The next prime is 132020203322171. The reversal of 132020203322133 is 331223302020231.

132020203322133 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 0 + 203 + 322 + 133 = 666.

It is not a de Polignac number, because 132020203322133 - 217 = 132020203191061 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 132020203322097 and 132020203322106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132020203302133) 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, 140876485 + ... + 141810522.

It is an arithmetic number, because the mean of its divisors is an integer number (4753382039520).

Almost surely, 2132020203322133 is an apocalyptic number.

It is an amenable number.

132020203322133 is a deficient number, since it is larger than the sum of its proper divisors (96142134574827).

132020203322133 is a wasteful number, since it uses less digits than its factorization.

132020203322133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282687383 (or 282687370 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 132020203322133 its reverse (331223302020231), we get a palindrome (463243505342364).

The spelling of 132020203322133 in words is "one hundred thirty-two trillion, twenty billion, two hundred three million, three hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 49 63 147 189 353 441 1059 1323 2471 3177 7413 9531 17297 22239 51891 66717 155673 467019 282687007 848061021 1978809049 2544183063 5936427147 7632549189 13851663343 17809281441 41554990029 53427844323 99788513471 124664970087 299365540413 373994910261 698519594297 898096621239 2095558782891 2694289863717 4889637160079 6286676348673 14668911480237 18860029046019 44006734440711 132020203322133