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232313400200133 = 32789491101982811
BaseRepresentation
bin110100110100100110101101…
…101100100000101111000101
31010110112221111021221101121100
4310310212231230200233011
5220422210320422401013
62142031145215410313
766635042424166350
oct6464465554405705
91113487437841540
10232313400200133
116802761801914a
122207ba87823999
139c820a10444a5
144152058545297
151bcd010b59473
hexd349adb20bc5

232313400200133 has 96 divisors (see below), whose sum is σ = 388986381388800. Its totient is φ = 130861476345600.

The previous prime is 232313400200107. The next prime is 232313400200171. The reversal of 232313400200133 is 331002004313232.

232313400200133 is a `hidden beast` number, since 2 + 3 + 23 + 1 + 3 + 400 + 200 + 1 + 33 = 666.

232313400200133 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232313400200133 - 26 = 232313400200069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232313400200097 and 232313400200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232313400202133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2805303298 + ... + 2805386108.

It is an arithmetic number, because the mean of its divisors is an integer number (4051941472800).

Almost surely, 2232313400200133 is an apocalyptic number.

It is an amenable number.

232313400200133 is a deficient number, since it is larger than the sum of its proper divisors (156672981188667).

232313400200133 is a wasteful number, since it uses less digits than its factorization.

232313400200133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84423 (or 84420 counting only the distinct ones).

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

Adding to 232313400200133 its reverse (331002004313232), we get a palindrome (563315404513365).

The spelling of 232313400200133 in words is "two hundred thirty-two trillion, three hundred thirteen billion, four hundred million, two hundred thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 89 267 491 623 801 1019 1473 1869 3057 3437 4419 5607 7133 9171 10311 21399 30933 43699 64197 82811 90691 131097 248433 272073 305893 393291 500329 579677 634837 745299 816219 917679 1500987 1739031 1904511 2753037 3502303 4502961 5217093 5713533 7370179 10506909 22110537 31520727 40660201 44529281 51591253 66331611 84384409 121980603 133587843 154773759 253153227 284621407 311704967 365941809 400763529 464321277 590690863 759459681 853864221 935114901 1772072589 2561592663 2805344703 3618757889 5316217767 7510212401 10856273667 22530637203 25331305223 32568821001 41432744819 52571486807 67591911609 75993915669 124298234457 157714460421 227981747007 290029213733 372894703371 473143381263 870087641199 2610262923597 3687514288891 11062542866673 25812600022237 33187628600019 77437800066711 232313400200133