Search a number
-
+
12430014100 = 22527172334483
BaseRepresentation
bin10111001001110001…
…01111011010010100
31012002021021010210121
423210320233122110
5200424040422400
65413230201324
7620012243110
oct134470573224
935067233717
1012430014100
1152a9467629
1224aa953244
13123128463a
1485cb96740
154cb3b221a
hex2e4e2f694

12430014100 has 144 divisors (see below), whose sum is σ = 32787151488. Its totient is φ = 3992924160.

The previous prime is 12430014071. The next prime is 12430014127. The reversal of 12430014100 is 141003421.

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, 2770459 + ... + 2774941.

It is an arithmetic number, because the mean of its divisors is an integer number (227688552).

Almost surely, 212430014100 is an apocalyptic number.

12430014100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12430014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393575744).

12430014100 is an abundant number, since it is smaller than the sum of its proper divisors (20357137388).

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

12430014100 is a wasteful number, since it uses less digits than its factorization.

12430014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12430014100 its reverse (141003421), we get a palindrome (12571017521).

The spelling of 12430014100 in words is "twelve billion, four hundred thirty million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 233 238 340 350 425 466 476 595 700 850 932 1165 1190 1631 1700 2330 2380 2975 3262 3961 4483 4660 5825 5950 6524 7922 8155 8966 11650 11900 15844 16310 17932 19805 22415 23300 27727 31381 32620 39610 40775 44830 55454 62762 76211 79220 81550 89660 99025 110908 112075 125524 138635 152422 156905 163100 198050 224150 277270 304844 313810 381055 396100 448300 533477 554540 627620 693175 762110 784525 1044539 1066954 1386350 1524220 1569050 1905275 2089078 2133908 2667385 2772700 3138100 3810550 4178156 5222695 5334770 7311773 7621100 10445390 10669540 13336925 14623546 17757163 20890780 26113475 26673850 29247092 35514326 36558865 52226950 53347700 71028652 73117730 88785815 104453900 124300141 146235460 177571630 182794325 248600282 355143260 365588650 443929075 497200564 621500705 731177300 887858150 1243001410 1775716300 2486002820 3107503525 6215007050 12430014100