Search a number
-
+
12113432340 = 22351572335519
BaseRepresentation
bin10110100100000010…
…00100111100010100
31011021012120010021020
423102001010330110
5144302014313330
65322000521140
7606116322162
oct132201047424
934235503236
1012113432340
115156798009
1224209201b0
1311b07cc259
1482cb08232
154ad6ca210
hex2d2044f14

12113432340 has 96 divisors (see below), whose sum is σ = 34286353920. Its totient is φ = 3195319296.

The previous prime is 12113432323. The next prime is 12113432389. The reversal of 12113432340 is 4323431121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12113432340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2192101 + ... + 2197619.

It is an arithmetic number, because the mean of its divisors is an integer number (357149520).

Almost surely, 212113432340 is an apocalyptic number.

12113432340 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 12113432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17143176960).

12113432340 is an abundant number, since it is smaller than the sum of its proper divisors (22172921580).

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

12113432340 is a wasteful number, since it uses less digits than its factorization.

12113432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12113432340 its reverse (4323431121), we get a palindrome (16436863461).

The spelling of 12113432340 in words is "twelve billion, one hundred thirteen million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 233 314 466 471 628 699 785 932 942 1165 1398 1570 1884 2330 2355 2796 3140 3495 4660 4710 5519 6990 9420 11038 13980 16557 22076 27595 33114 36581 55190 66228 73162 82785 109743 110380 146324 165570 182905 219486 331140 365810 438972 548715 731620 866483 1097430 1285927 1732966 2194860 2571854 2599449 3465932 3857781 4332415 5143708 5198898 6429635 7715562 8664830 10397796 12859270 12997245 15431124 17329660 19288905 25718540 25994490 38577810 51988980 77155620 201890539 403781078 605671617 807562156 1009452695 1211343234 2018905390 2422686468 3028358085 4037810780 6056716170 12113432340