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13330124032 = 28831314789
BaseRepresentation
bin11000110101000100…
…11000110100000000
31021101222222110111111
430122202120310000
5204300002432112
610042422453104
7651222120241
oct143242306400
937358873444
1013330124032
115720564535
122700294194
1313458b9074
14906540cc8
155304115a7
hex31a898d00

13330124032 has 72 divisors (see below), whose sum is σ = 27139986720. Its totient is φ = 6533130240.

The previous prime is 13330124029. The next prime is 13330124039. The reversal of 13330124032 is 23042103331.

It is a junction number, because it is equal to n+sod(n) for n = 13330123994 and 13330124012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330124039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2781094 + ... + 2785882.

It is an arithmetic number, because the mean of its divisors is an integer number (376944260).

Almost surely, 213330124032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13330124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569993360).

13330124032 is an abundant number, since it is smaller than the sum of its proper divisors (13809862688).

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

13330124032 is an equidigital number, since it uses as much as digits as its factorization.

13330124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13330124032 its reverse (23042103331), we get a palindrome (36372227363).

The spelling of 13330124032 in words is "thirteen billion, three hundred thirty million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 83 128 131 166 256 262 332 524 664 1048 1328 2096 2656 4192 4789 5312 8384 9578 10624 10873 16768 19156 21248 21746 33536 38312 43492 76624 86984 153248 173968 306496 347936 397487 612992 627359 695872 794974 1225984 1254718 1391744 1589948 2509436 2783488 3179896 5018872 6359792 10037744 12719584 20075488 25439168 40150976 50878336 52070797 80301952 101756672 104141594 160603904 208283188 416566376 833132752 1666265504 3332531008 6665062016 13330124032