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1002424227912 = 23361069160789
BaseRepresentation
bin11101001011001010010…
…00111101100001001000
310112211102200000222000000
432211211020331201020
5112410431100243122
62044301330043000
7132265002230622
oct16454510754110
93484380028000
101002424227912
11357142386238
12142339a19460
13736b35b8123
14367363b1c12
151b11e4c60ac
hexe96523d848

1002424227912 has 112 divisors (see below), whose sum is σ = 2820682693500. Its totient is φ = 333826759296.

The previous prime is 1002424227911. The next prime is 1002424227919. The reversal of 1002424227912 is 2197224242001.

1002424227912 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 424 + 227 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1002213223236 + 211004676 = 1001106^2 + 14526^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1002424227911) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6154014 + ... + 6314802.

Almost surely, 21002424227912 is an apocalyptic number.

1002424227912 is a gapful number since it is divisible by the number (12) 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 1002424227912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410341346750).

1002424227912 is an abundant number, since it is smaller than the sum of its proper divisors (1818258465588).

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

1002424227912 is a wasteful number, since it uses less digits than its factorization.

1002424227912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161882 (or 161863 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 1002424227912 its reverse (2197224242001), we get a palindrome (3199648469913).

The spelling of 1002424227912 in words is "one trillion, two billion, four hundred twenty-four million, two hundred twenty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1069 1458 1944 2138 2916 3207 4276 5832 6414 8552 9621 12828 19242 25656 28863 38484 57726 76968 86589 115452 160789 173178 230904 259767 321578 346356 482367 519534 643156 692712 779301 964734 1039068 1286312 1447101 1558602 1929468 2078136 2894202 3117204 3858936 4341303 5788404 6234408 8682606 11576808 13023909 17365212 26047818 34730424 39071727 52095636 78143454 104191272 117215181 156286908 171883441 234430362 312573816 343766882 468860724 515650323 687533764 937721448 1031300646 1375067528 1546950969 2062601292 3093901938 4125202584 4640852907 6187803876 9281705814 12375607752 13922558721 18563411628 27845117442 37126823256 41767676163 55690234884 83535352326 111380469768 125303028489 167070704652 250606056978 334141409304 501212113956 1002424227912