Search a number
-
+
12031018596 = 223210121812
BaseRepresentation
bin10110011010001101…
…01100011001100100
31011001110111001212100
423031012230121210
5144114420043341
65305454252100
7604065653652
oct131506543144
934043431770
1012031018596
115114218383
1223b91b7030
13119970531c
14821bb3dd2
154a634b3b6
hex2cd1ac664

12031018596 has 81 divisors (see below), whose sum is σ = 30886467339. Its totient is φ = 3948696000.

The previous prime is 12031018579. The next prime is 12031018631. The reversal of 12031018596 is 69581013021.

The square root of 12031018596 is 109686.

It is a perfect power (a square), and thus also a powerful number.

12031018596 is a `hidden beast` number, since 1 + 20 + 31 + 0 + 18 + 596 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106378596 + 11924640000 = 10314^2 + 109200^2 .

It is a super-2 number, since 2×120310185962 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12031018596.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66469626 + ... + 66469806.

Almost surely, 212031018596 is an apocalyptic number.

12031018596 is the 109686-th square number.

It is an amenable number.

12031018596 is an abundant number, since it is smaller than the sum of its proper divisors (18855448743).

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

12031018596 is a wasteful number, since it uses less digits than its factorization.

12031018596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 12031018596 by its sum of digits (36), we get a square (433116669456 = 6581162).

12031018596 divided by its sum of digits (36) gives a square (334194961 = 182812).

The spelling of 12031018596 in words is "twelve billion, thirty-one million, eighteen thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 101 181 202 303 362 404 543 606 724 909 1086 1212 1629 1818 2172 3258 3636 6516 10201 18281 20402 30603 32761 36562 40804 54843 61206 65522 73124 91809 98283 109686 122412 131044 164529 183618 196566 219372 294849 329058 367236 393132 589698 658116 1179396 1846381 3308861 3692762 5539143 6617722 7385524 9926583 11078286 13235444 16617429 19853166 22156572 29779749 33234858 39706332 59559498 66469716 119118996 334194961 668389922 1002584883 1336779844 2005169766 3007754649 4010339532 6015509298 12031018596