Search a number
-
+
12200000200110 = 23251919336966337
BaseRepresentation
bin1011000110001000100010…
…1011011001110110101110
31121012022022222201221210100
42301202020223121312232
53044341100022400420
641540334104251530
72366264243451642
oct261421053316656
947168288657710
1012200000200110
113983a9a072388
121450537470ba6
136a65bba7bb68
143026a9b12c22
1516253b3d4190
hexb1888ad9dae

12200000200110 has 96 divisors (see below), whose sum is σ = 33562477596960. Its totient is φ = 3066135773184.

The previous prime is 12200000200109. The next prime is 12200000200151. The reversal of 12200000200110 is 1100200000221.

12200000200110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12200000200092 and 12200000200101.

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, 18153139 + ... + 18813198.

It is an arithmetic number, because the mean of its divisors is an integer number (349609141635).

Almost surely, 212200000200110 is an apocalyptic number.

12200000200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12200000200110 is an abundant number, since it is smaller than the sum of its proper divisors (21362477396850).

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

12200000200110 is a wasteful number, since it uses less digits than its factorization.

12200000200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36966562 (or 36966559 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12200000200110 its reverse (1100200000221), we get a palindrome (13300200200331).

The spelling of 12200000200110 in words is "twelve trillion, two hundred billion, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 193 285 342 386 570 579 855 965 1158 1710 1737 1930 2895 3474 3667 5790 7334 8685 11001 17370 18335 22002 33003 36670 55005 66006 110010 165015 330030 36966337 73932674 110899011 184831685 221798022 332697033 369663370 554495055 665394066 702360403 1108990110 1404720806 1663485165 2107081209 3326970330 3511802015 4214162418 6321243627 7023604030 7134503041 10535406045 12642487254 14269006082 21070812090 21403509123 31606218135 35672515205 42807018246 63212436270 64210527369 71345030410 107017545615 128421054738 135555557779 214035091230 271111115558 321052636845 406666673337 642105273690 677777788895 813333346674 1220000020011 1355555577790 2033333366685 2440000040022 4066666733370 6100000100055 12200000200110