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13003312230 = 23254310313259
BaseRepresentation
bin11000001110000111…
…01100110001100110
31020120020000200222200
430013003230301212
5203112321442410
65550150035330
7640143221166
oct140703546146
936506020880
1013003312230
115573037a37
12262a948b46
1312c2c914bc
148b4d8c5a6
155118a83c0
hex3070ecc66

13003312230 has 96 divisors (see below), whose sum is σ = 34639038720. Its totient is φ = 3382585920.

The previous prime is 13003312193. The next prime is 13003312241. The reversal of 13003312230 is 3221330031.

13003312230 is a `hidden beast` number, since 1 + 300 + 331 + 2 + 2 + 30 = 666.

It is a super-2 number, since 2×130033122302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3988341 + ... + 3991599.

It is an arithmetic number, because the mean of its divisors is an integer number (360823320).

Almost surely, 213003312230 is an apocalyptic number.

13003312230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003312230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17319519360).

13003312230 is an abundant number, since it is smaller than the sum of its proper divisors (21635726490).

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

13003312230 is a wasteful number, since it uses less digits than its factorization.

13003312230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13003312230 its reverse (3221330031), we get a palindrome (16224642261).

The spelling of 13003312230 in words is "thirteen billion, three million, three hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1031 1290 1935 2062 3093 3259 3870 5155 6186 6518 9279 9777 10310 15465 16295 18558 19554 29331 30930 32590 44333 46395 48885 58662 88666 92790 97770 132999 140137 146655 221665 265998 280274 293310 398997 420411 443330 664995 700685 797994 840822 1261233 1329990 1401370 1994985 2102055 2522466 3360029 3989970 4204110 6306165 6720058 10080087 12612330 16800145 20160174 30240261 33600290 50400435 60480522 100800870 144481247 151201305 288962494 302402610 433443741 722406235 866887482 1300331223 1444812470 2167218705 2600662446 4334437410 6501656115 13003312230