Search a number
-
+
12002013343124 = 22719167135090871
BaseRepresentation
bin1010111010100110111110…
…1111011110110110010100
31120111101021221112112100022
42232221233233132312110
53033120110403434444
641305352051004312
72346055036106360
oct256515757366624
946441257475308
1012002013343124
113908030705342
12141a0a1b99698
13690a2885938c
142d6c8714c2a0
1515c2eea6b9ee
hexaea6fbded94

12002013343124 has 48 divisors (see below), whose sum is σ = 25418698475520. Its totient is φ = 4843818234720.

The previous prime is 12002013343121. The next prime is 12002013343129. The reversal of 12002013343124 is 42134331020021.

It is a junction number, because it is equal to n+sod(n) for n = 12002013343093 and 12002013343102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002013343121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67456592 + ... + 67634279.

It is an arithmetic number, because the mean of its divisors is an integer number (529556218240).

Almost surely, 212002013343124 is an apocalyptic number.

12002013343124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12002013343124 is an abundant number, since it is smaller than the sum of its proper divisors (13416685132396).

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

12002013343124 is a wasteful number, since it uses less digits than its factorization.

12002013343124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135091068 (or 135091066 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12002013343124 its reverse (42134331020021), we get a palindrome (54136344363145).

The spelling of 12002013343124 in words is "twelve trillion, two billion, thirteen million, three hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 167 266 334 532 668 1169 2338 3173 4676 6346 12692 22211 44422 88844 135090871 270181742 540363484 945636097 1891272194 2566726549 3782544388 5133453098 10266906196 17967085843 22560175457 35934171686 45120350914 71868343372 90240701828 157921228199 315842456398 428643333683 631684912796 857286667366 1714573334732 3000503335781 6001006671562 12002013343124