Search a number
-
+
302404113012 = 2231719311250867
BaseRepresentation
bin1000110011010001011…
…00001001001001110100
31001220120001200121210210
410121220230021021310
514423310423104022
6350531133345420
730563566356231
oct4315054111164
91056501617723
10302404113012
11107281268a61
124a736638270
1322693c276a1
14108ca552788
157ced798a0c
hex4668b09274

302404113012 has 96 divisors (see below), whose sum is σ = 788969825280. Its totient is φ = 89589265920.

The previous prime is 302404112987. The next prime is 302404113041. The reversal of 302404113012 is 210311404203.

It is a self number, because there is not a number n which added to its sum of digits gives 302404113012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1080003 + ... + 1330869.

It is an arithmetic number, because the mean of its divisors is an integer number (8218435680).

Almost surely, 2302404113012 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 302404113012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394484912640).

302404113012 is an abundant number, since it is smaller than the sum of its proper divisors (486565712268).

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

302404113012 is a wasteful number, since it uses less digits than its factorization.

302404113012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251221 (or 251219 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 302404113012 its reverse (210311404203), we get a palindrome (512715517215).

It can be divided in two parts, 302404 and 113012, that added together give a triangular number (415416 = T911).

The spelling of 302404113012 in words is "three hundred two billion, four hundred four million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 311 323 622 646 933 969 1244 1292 1866 1938 3732 3876 5287 5909 10574 11818 15861 17727 21148 23636 31722 35454 63444 70908 100453 200906 250867 301359 401812 501734 602718 752601 1003468 1205436 1505202 3010404 4264739 4766473 8529478 9532946 12794217 14299419 17058956 19065892 25588434 28598838 51176868 57197676 78019637 81030041 156039274 162060082 234058911 243090123 312078548 324120164 468117822 486180246 936235644 972360492 1326333829 1482373103 2652667658 2964746206 3979001487 4447119309 5305335316 5929492412 7958002974 8894238618 15916005948 17788477236 25200342751 50400685502 75601028253 100801371004 151202056506 302404113012