Search a number
-
+
12403001016 = 2333714475669
BaseRepresentation
bin10111000110100011…
…01100011010111000
31012000101102201211000
423203101230122320
5200400132013031
65410423205000
7616233524550
oct134321543270
935011381730
1012403001016
11529519726a
1224a18a6760
1312287b7073
14859364160
154c8d283e6
hex2e346c6b8

12403001016 has 128 divisors (see below), whose sum is σ = 39408768000. Its totient is φ = 3540640896.

The previous prime is 12403001003. The next prime is 12403001021. The reversal of 12403001016 is 61010030421.

It is a happy number.

12403001016 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 (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12403001016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2185030 + ... + 2190698.

It is an arithmetic number, because the mean of its divisors is an integer number (307881000).

Almost surely, 212403001016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12403001016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19704384000).

12403001016 is an abundant number, since it is smaller than the sum of its proper divisors (27005766984).

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

12403001016 is a wasteful number, since it uses less digits than its factorization.

12403001016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12403001016 its reverse (61010030421), we get a palindrome (73413031437).

The spelling of 12403001016 in words is "twelve billion, four hundred three million, one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1447 1512 2894 4341 5669 5788 8682 10129 11338 11576 13023 17007 17364 20258 22676 26046 30387 34014 34728 39069 39683 40516 45352 51021 52092 60774 68028 78138 79366 81032 91161 102042 104184 119049 121548 136056 153063 156276 158732 182322 204084 238098 243096 273483 306126 312552 317464 357147 364644 408168 476196 546966 612252 714294 729288 952392 1071441 1093932 1224504 1428588 2142882 2187864 2857176 4285764 8203043 8571528 16406086 24609129 32812172 49218258 57421301 65624344 73827387 98436516 114842602 147654774 172263903 196873032 221482161 229685204 295309548 344527806 442964322 459370408 516791709 590619096 689055612 885928644 1033583418 1378111224 1550375127 1771857288 2067166836 3100750254 4134333672 6201500508 12403001016