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4231321220133 = 327717619411321
BaseRepresentation
bin111101100100101110011…
…001011111010000100101
3112222111210001101020002200
4331210232121133100211
51023311221213021013
612555501522325113
7614463040636530
oct75445631372045
915874701336080
104231321220133
111391547578067
12584084ab9799
13249020137557
14108b23111a17
15750ee03ae73
hex3d92e65f425

4231321220133 has 96 divisors (see below), whose sum is σ = 7105639417344. Its totient is φ = 2376380160000.

The previous prime is 4231321220129. The next prime is 4231321220141. The reversal of 4231321220133 is 3310221231324.

4231321220133 is a `hidden beast` number, since 4 + 2 + 313 + 212 + 2 + 0 + 133 = 666.

It is not a de Polignac number, because 4231321220133 - 22 = 4231321220129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4231321220097 and 4231321220106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231321220143) 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 95 ways as a sum of consecutive naturals, for example, 3203119113 + ... + 3203120433.

It is an arithmetic number, because the mean of its divisors is an integer number (74017077264).

Almost surely, 24231321220133 is an apocalyptic number.

It is an amenable number.

4231321220133 is a deficient number, since it is larger than the sum of its proper divisors (2874318197211).

4231321220133 is a wasteful number, since it uses less digits than its factorization.

4231321220133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 4231321220133 its reverse (3310221231324), we get a palindrome (7541542451457).

The spelling of 4231321220133 in words is "four trillion, two hundred thirty-one billion, three hundred twenty-one million, two hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 71 213 497 639 761 941 1321 1491 2283 2823 3963 4473 5327 6587 6849 8469 9247 11889 15981 19761 27741 47943 54031 59283 66811 83223 93791 162093 200433 281373 378217 467677 486279 601299 656537 716101 844119 1005281 1134651 1243061 1403031 1969611 2148303 3015843 3403953 3729183 4209093 5012707 5908833 6444909 7036967 8701427 9047529 11187549 15038121 21110901 26104281 45114363 50843171 63332703 71374951 78312843 88257331 152529513 214124853 264771993 355902197 457588539 499624657 617801317 642374559 794315979 945969421 1067706591 1498873971 1853403951 2837908263 3203119773 4496621913 5560211853 6621785947 8513724789 19865357841 59596073523 67163828891 201491486673 470146802237 604474460019 1410440406711 4231321220133