Search a number
-
+
13100333312 = 28114798981
BaseRepresentation
bin11000011001101011…
…10011100100000000
31020210222120212220002
430030311303210000
5203312141131222
610003533335132
7642431665403
oct141465634400
936728525802
1013100333312
115612884350
1226573374a8
13130a101121
148c3c05d3a
1551a170392
hex30cd73900

13100333312 has 72 divisors (see below), whose sum is σ = 29133965952. Its totient is φ = 5827942400.

The previous prime is 13100333227. The next prime is 13100333329. The reversal of 13100333312 is 21333300131.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82862 + ... + 181842.

It is an arithmetic number, because the mean of its divisors is an integer number (404638416).

Almost surely, 213100333312 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 13100333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14566982976).

13100333312 is an abundant number, since it is smaller than the sum of its proper divisors (16033632640).

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

13100333312 is an equidigital number, since it uses as much as digits as its factorization.

13100333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99055 (or 99041 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13100333312 its reverse (21333300131), we get a palindrome (34433633443).

The spelling of 13100333312 in words is "thirteen billion, one hundred million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 376 517 704 752 1034 1408 1504 2068 2816 3008 4136 6016 8272 12032 16544 33088 66176 98981 132352 197962 395924 791848 1088791 1583696 2177582 3167392 4355164 4652107 6334784 8710328 9304214 12669568 17420656 18608428 25339136 34841312 37216856 51173177 69682624 74433712 102346354 139365248 148867424 204692708 278730496 297734848 409385416 595469696 818770832 1190939392 1637541664 3275083328 6550166656 13100333312