Search a number
-
+
323001103000312 = 2311198912717091257
BaseRepresentation
bin100100101110001001000111…
…0000000011010001011111000
31120100122121022020011120221101
41021130102032000122023320
5314314022224332002222
63102544354103021144
7125015026304226322
oct11134221600321370
91510577266146841
10323001103000312
1193a10aa9027740
123028793ba3a7b4
1310b2cb478a9c49
1459a94a026a612
152751eeebb3927
hex125c48e01a2f8

323001103000312 has 128 divisors (see below), whose sum is σ = 708808651776000. Its totient is φ = 136445649500160.

The previous prime is 323001103000291. The next prime is 323001103000337. The reversal of 323001103000312 is 213000301100323.

It is a super-3 number, since 3×3230011030003123 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 323001103000312.

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, 10352988 + ... + 27444244.

It is an arithmetic number, because the mean of its divisors is an integer number (5537567592000).

Almost surely, 2323001103000312 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 323001103000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354404325888000).

323001103000312 is an abundant number, since it is smaller than the sum of its proper divisors (385807548775688).

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

323001103000312 is a wasteful number, since it uses less digits than its factorization.

323001103000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17091509 (or 17091505 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 323001103000312 its reverse (213000301100323), we get a palindrome (536001404100635).

The spelling of 323001103000312 in words is "three hundred twenty-three trillion, one billion, one hundred three million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 19 22 38 44 76 88 89 127 152 178 209 254 356 418 508 712 836 979 1016 1397 1672 1691 1958 2413 2794 3382 3916 4826 5588 6764 7832 9652 11176 11303 13528 18601 19304 22606 26543 37202 45212 53086 74404 90424 106172 124333 148808 212344 214757 248666 429514 497332 859028 994664 1718056 2362327 4724654 9449308 17091257 18898616 34182514 68365028 136730056 188003827 324733883 376007654 649467766 752015308 1298935532 1504030616 1521121873 2170589639 2597871064 3042243746 3572072713 4341179278 6084487492 7144145426 8682358556 12168974984 14288290852 16732340603 17364717112 23876486029 28576581704 28901315587 33464681206 41241203141 47752972058 57802631174 66929362412 82482406282 95505944116 115605262348 133858724824 164964812564 191011888232 193182477871 231210524696 317914471457 329929625128 386364955742 453653234551 635828942914 772729911484 907306469102 1271657885828 1545459822968 1814612938204 2125007256581 2543315771656 3629225876408 3670467079549 4250014513162 7340934159098 8500029026324 14681868318196 17000058052648 29363736636392 40375137875039 80750275750078 161500551500156 323001103000312