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23134124310 = 2351131930493
BaseRepresentation
bin10101100010111001…
…101011100100010110
32012201020221021112220
4111202321223210112
5334334313434220
614343324323210
71446166545363
oct254271534426
965636837486
1023134124310
1198a1679000
1245976a3506
132248abcc6b
14119664346a
15905ea5540
hex562e6b916

23134124310 has 128 divisors (see below), whose sum is σ = 64286231040. Its totient is φ = 5312926080.

The previous prime is 23134124269. The next prime is 23134124323. The reversal of 23134124310 is 1342143132.

It is a happy number.

It is a super-2 number, since 2×231341243102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 743424 + ... + 773916.

It is an arithmetic number, because the mean of its divisors is an integer number (502236180).

Almost surely, 223134124310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23134124310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32143115520).

23134124310 is an abundant number, since it is smaller than the sum of its proper divisors (41152106730).

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

23134124310 is a wasteful number, since it uses less digits than its factorization.

23134124310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30555 (or 30533 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23134124310 its reverse (1342143132), we get a palindrome (24476267442).

The spelling of 23134124310 in words is "twenty-three billion, one hundred thirty-four million, one hundred twenty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 121 165 190 209 242 285 330 363 418 570 605 627 726 1045 1210 1254 1331 1815 2090 2299 2662 3135 3630 3993 4598 6270 6655 6897 7986 11495 13310 13794 19965 22990 25289 30493 34485 39930 50578 60986 68970 75867 91479 126445 151734 152465 182958 252890 304930 335423 379335 457395 579367 670846 758670 914790 1006269 1158734 1677115 1738101 2012538 2896835 3354230 3476202 3689653 5031345 5793670 6373037 7379306 8690505 10062690 11068959 12746074 17381010 18448265 19119111 22137918 31865185 36896530 38238222 40586183 55344795 63730370 70103407 81172366 95595555 110689590 121758549 140206814 191191110 202930915 210310221 243517098 350517035 405861830 420620442 608792745 701034070 771137477 1051551105 1217585490 1542274954 2103102210 2313412431 3855687385 4626824862 7711374770 11567062155 23134124310