Search a number
-
+
12233203332030 = 2345127711826719
BaseRepresentation
bin1011001000000100001110…
…1111010011001110111110
31121022111000222021211010000
42302001003233103032332
53100412100023111110
642003504522455130
72401551116433552
oct262010357231676
947274028254100
1012233203332030
1139970883a887a
121456a630644a6
136a978093b195
1430413971d862
151633313291c0
hexb2043bd33be

12233203332030 has 80 divisors (see below), whose sum is σ = 32919485892480. Its totient is φ = 3259632708288.

The previous prime is 12233203332023. The next prime is 12233203332083. The reversal of 12233203332030 is 3023330233221.

12233203332030 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 320 + 3 + 332 + 0 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12233203331985 and 12233203332003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4878990 + ... + 6947729.

It is an arithmetic number, because the mean of its divisors is an integer number (411493573656).

Almost surely, 212233203332030 is an apocalyptic number.

12233203332030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12233203332030 is an abundant number, since it is smaller than the sum of its proper divisors (20686282560450).

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

12233203332030 is a wasteful number, since it uses less digits than its factorization.

12233203332030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11828015 (or 11828006 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 12233203332030 its reverse (3023330233221), we get a palindrome (15256533565251).

The spelling of 12233203332030 in words is "twelve trillion, two hundred thirty-three billion, two hundred three million, three hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1277 2554 3831 6385 7662 11493 12770 19155 22986 34479 38310 57465 68958 103437 114930 172395 206874 344790 517185 1034370 11826719 23653438 35480157 59133595 70960314 106440471 118267190 177400785 212880942 319321413 354801570 532202355 638642826 957964239 1064404710 1596607065 1915928478 3193214130 4789821195 9579642390 15102720163 30205440326 45308160489 75513600815 90616320978 135924481467 151027201630 226540802445 271848962934 407773444401 453081604890 679622407335 815546888802 1223320333203 1359244814670 2038867222005 2446640666406 4077734444010 6116601666015 12233203332030