Search a number
-
+
231233300013132 = 223260711311935531
BaseRepresentation
bin110100100100111000110010…
…101101010010000001001100
31010022201200120020212212101200
4310210320302231102001030
5220302011244300410012
62135443040032105500
766464024510114334
oct6444706255220114
91108650506785350
10231233300013132
11677505456881aa
1221b26690395290
139c0428bc661c1
144115a73d240c4
151baed972343dc
hexd24e32b5204c

231233300013132 has 72 divisors (see below), whose sum is σ = 585521727178752. Its totient is φ = 76943899749600.

The previous prime is 231233300013113. The next prime is 231233300013197. The reversal of 231233300013132 is 231310003332132.

231233300013132 is a `hidden beast` number, since 2 + 3 + 12 + 3 + 330 + 0 + 0 + 1 + 313 + 2 = 666.

It is a super-2 number, since 2×2312333000131322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231233300013096 and 231233300013105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246700207 + ... + 247635737.

It is an arithmetic number, because the mean of its divisors is an integer number (8132246210816).

Almost surely, 2231233300013132 is an apocalyptic number.

It is an amenable number.

231233300013132 is an abundant number, since it is smaller than the sum of its proper divisors (354288427165620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231233300013132 is a wasteful number, since it uses less digits than its factorization.

231233300013132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947459 (or 947454 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 231233300013132 its reverse (231310003332132), we get a palindrome (462543303345264).

The spelling of 231233300013132 in words is "two hundred thirty-one trillion, two hundred thirty-three billion, three hundred million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 607 1214 1821 2428 3642 5463 7284 10926 11311 21852 22622 33933 45244 67866 101799 135732 203598 407196 935531 1871062 2806593 3742124 5613186 6865777 8419779 11226372 13731554 16839558 20597331 27463108 33679116 41194662 61791993 82389324 123583986 247167972 567867317 1135734634 1703601951 2271469268 3407203902 5110805853 6814407804 10221611706 10581791141 20443223412 21163582282 31745373423 42327164564 63490746846 95236120269 126981493692 190472240538 380944481076 6423147222587 12846294445174 19269441667761 25692588890348 38538883335522 57808325003283 77077766671044 115616650006566 231233300013132