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12132305101341 = 36401224318503
BaseRepresentation
bin1011000010001100010110…
…1111000110001000011101
31120221211121012110122000000
42300203011233012020131
53042233430101220331
641445300511324513
72361346554555645
oct260430557061035
946854535418000
1012132305101341
113958310a39767
12143b3a4520739
136a00c10044b9
142dd2c7283525
151608c83120e6
hexb08c5bc621d

12132305101341 has 56 divisors (see below), whose sum is σ = 18244614332736. Its totient is φ = 8064000489600.

The previous prime is 12132305101313. The next prime is 12132305101373. The reversal of 12132305101341 is 14310150323121.

12132305101341 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 2 + 305 + 10 + 1 + 341 = 666.

It is not a de Polignac number, because 12132305101341 - 225 = 12132271546909 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132305109341) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 655684696 + ... + 655703198.

Almost surely, 212132305101341 is an apocalyptic number.

It is an amenable number.

12132305101341 is a deficient number, since it is larger than the sum of its proper divisors (6112309231395).

12132305101341 is an equidigital number, since it uses as much as digits as its factorization.

12132305101341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21165 (or 21150 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 12132305101341 its reverse (14310150323121), we get a palindrome (26442455424462).

The spelling of 12132305101341 in words is "twelve trillion, one hundred thirty-two billion, three hundred five million, one hundred one thousand, three hundred forty-one".

Divisors: 1 3 9 27 81 243 401 729 1203 2243 3609 6729 10827 18503 20187 32481 55509 60561 97443 166527 181683 292329 499581 545049 899443 1498743 1635147 2698329 4496229 7419703 8094987 13488687 22259109 24284961 41502229 66777327 72854883 124506687 200331981 218564649 373520061 600995943 655693947 1120560183 1802987829 3361680549 5408963487 10085041647 16642393829 30255124941 49927181487 149781544461 449344633383 1348033900149 4044101700447 12132305101341