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20130112233 = 327211172310613
BaseRepresentation
bin10010101111110110…
…010010001011101001
31220221220100122200100
4102233312102023221
5312211302042413
613125254100013
71311562062600
oct225766221351
956856318610
1020130112233
11859aa182a0
123a9964a609
131b8a63251a
14d8d6b4a37
157cc3bca73
hex4afd922e9

20130112233 has 144 divisors (see below), whose sum is σ = 40772025216. Its totient is φ = 9413268480.

The previous prime is 20130112217. The next prime is 20130112273. The reversal of 20130112233 is 33221103102.

It is not a de Polignac number, because 20130112233 - 24 = 20130112217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20130112273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1891435 + ... + 1902047.

It is an arithmetic number, because the mean of its divisors is an integer number (283139064).

Almost surely, 220130112233 is an apocalyptic number.

20130112233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20130112233 is an abundant number, since it is smaller than the sum of its proper divisors (20641912983).

20130112233 is a wasteful number, since it uses less digits than its factorization.

20130112233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20130112233 its reverse (33221103102), we get a palindrome (53351215335).

The spelling of 20130112233 in words is "twenty billion, one hundred thirty million, one hundred twelve thousand, two hundred thirty-three".

Divisors: 1 3 7 9 11 17 21 23 33 49 51 63 69 77 99 119 147 153 161 187 207 231 253 357 391 441 483 539 561 693 759 833 1071 1127 1173 1309 1449 1617 1683 1771 2277 2499 2737 3381 3519 3927 4301 4851 5313 7497 8211 9163 10143 10613 11781 12397 12903 15939 19159 24633 27489 30107 31839 37191 38709 57477 74291 82467 90321 95517 111573 116743 172431 180421 210749 222873 244099 270963 350229 520037 541263 632247 668619 732297 817201 1050687 1262947 1560111 1623789 1708693 1896741 1984631 2196891 2451603 2685089 3788841 4149683 4680333 5126079 5720407 5953893 7354809 8055267 8840629 11366523 11960851 12449049 13892417 15378237 17161221 17861679 18795623 24165801 26521887 29047781 35882553 37347147 41677251 45646513 51483663 56386869 79565661 87143343 97246919 107647659 125031753 131569361 136939539 169160607 203334467 261430029 291740757 319525591 394708083 410818617 610003401 875222271 958576773 1184124249 1830010203 2236679137 2875730319 6710037411 20130112233