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13303023300432 = 24324571657121997
BaseRepresentation
bin1100000110010101100111…
…1110100110111101010000
31202002202102120022010112200
43001211121332212331100
53220424042431103212
644143154033323200
72542053214223025
oct301453176467520
952082376263480
1013303023300432
114269864931398
1215aa26b706500
13756614c68c98
1433dc268b754c
1518109748d6dc
hexc1959fa6f50

13303023300432 has 120 divisors (see below), whose sum is σ = 37334278376616. Its totient is φ = 4421931429888.

The previous prime is 13303023300421. The next prime is 13303023300433. The reversal of 13303023300432 is 23400332030331.

It is a happy number.

13303023300432 is a `hidden beast` number, since 1 + 3 + 303 + 0 + 23 + 300 + 4 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7598931771456 + 5704091528976 = 2756616^2 + 2388324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13303023300396 and 13303023300405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303023300433) 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 23 ways as a sum of consecutive naturals, for example, 108982858 + ... + 109104854.

Almost surely, 213303023300432 is an apocalyptic number.

13303023300432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13303023300432 is an abundant number, since it is smaller than the sum of its proper divisors (24031255076184).

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

13303023300432 is a wasteful number, since it uses less digits than its factorization.

13303023300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124125 (or 124116 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 13303023300432 its reverse (23400332030331), we get a palindrome (36703355330763).

The spelling of 13303023300432 in words is "thirteen trillion, three hundred three billion, twenty-three million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 457 914 1371 1657 1828 2742 3314 3656 4113 4971 5484 6628 7312 8226 9942 10968 13256 14913 16452 19884 21936 26512 29826 32904 39768 59652 65808 79536 119304 121997 238608 243994 365991 487988 731982 757249 975976 1097973 1463964 1514498 1951952 2195946 2271747 2927928 3028996 4391892 4543494 5855856 6057992 6815241 8783784 9086988 12115984 13630482 17567568 18173976 27260964 36347952 54521928 55752629 109043856 111505258 167257887 202149029 223010516 334515774 404298058 446021032 501773661 606447087 669031548 808596116 892042064 1003547322 1212894174 1338063096 1617192232 1819341261 2007094644 2425788348 2676126192 3234384464 3638682522 4014189288 4851576696 7277365044 8028378576 9703153392 14554730088 29109460176 92382106253 184764212506 277146318759 369528425012 554292637518 739056850024 831438956277 1108585275036 1478113700048 1662877912554 2217170550072 3325755825108 4434341100144 6651511650216 13303023300432