Search a number
-
+
23033322113130 = 2335754287224491
BaseRepresentation
bin1010011110010110111001…
…11110111000100001101010
310000112222000211011111222000
411033023130332320201222
511004334220430110010
6120553210114111430
74565050123406610
oct517133476704152
9100488024144860
1023033322113130
11738041694558a
122700018b7b576
13cb1057531234
14598b668936b0
1529e239bc37c0
hex14f2dcfb886a

23033322113130 has 128 divisors (see below), whose sum is σ = 70198396968960. Its totient is φ = 5264638908480.

The previous prime is 23033322113093. The next prime is 23033322113201. The reversal of 23033322113130 is 3131122333032.

23033322113130 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 332 + 2 + 11 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23033322113094 and 23033322113103.

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, 102490185 + ... + 102714675.

It is an arithmetic number, because the mean of its divisors is an integer number (548424976320).

Almost surely, 223033322113130 is an apocalyptic number.

23033322113130 is an abundant number, since it is smaller than the sum of its proper divisors (47165074855830).

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

23033322113130 is a wasteful number, since it uses less digits than its factorization.

23033322113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278801 (or 278795 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 23033322113130 its reverse (3131122333032), we get a palindrome (26164444446162).

The spelling of 23033322113130 in words is "twenty-three trillion, thirty-three billion, three hundred twenty-two million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 54287 108574 162861 224491 271435 325722 380009 448982 488583 542870 673473 760018 814305 977166 1122455 1140027 1346946 1465749 1571437 1628610 1900045 2020419 2244910 2280054 2442915 2931498 3142874 3367365 3420081 3800090 4040838 4714311 4885830 5700135 6061257 6734730 6840162 7328745 7857185 9428622 10102095 10260243 11400270 12122514 14142933 14657490 15714370 17100405 20204190 20520486 23571555 28285866 30306285 34200810 42428799 47143110 51301215 60612570 70714665 84857598 102602430 141429330 212143995 424287990 12186942917 24373885834 36560828751 60934714585 73121657502 85308600419 109682486253 121869429170 170617200838 182804143755 219364972506 255925801257 329047458759 365608287510 426543002095 511851602514 548412431265 658094917518 767777403771 853086004190 1096824862530 1279629006285 1535554807542 1645237293795 2303332211313 2559258012570 3290474587590 3838887018855 4606664422626 7677774037710 11516661056565 23033322113130