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11311321000 = 2353710611523
BaseRepresentation
bin10101000100011010…
…10000111110101000
31002012022020122100211
422202031100332220
5141131144233000
65110224510504
7550206433150
oct124215207650
932168218324
1011311321000
114884a44981
12223817b434
1310b358a365
1479438d760
154630877ba
hex2a2350fa8

11311321000 has 128 divisors (see below), whose sum is σ = 30298095360. Its totient is φ = 3871968000.

The previous prime is 11311320989. The next prime is 11311321001. The reversal of 11311321000 is 12311311.

It is not an unprimeable number, because it can be changed into a prime (11311321001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7426239 + ... + 7427761.

It is an arithmetic number, because the mean of its divisors is an integer number (236703870).

Almost surely, 211311321000 is an apocalyptic number.

11311321000 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 11311321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15149047680).

11311321000 is an abundant number, since it is smaller than the sum of its proper divisors (18986774360).

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

11311321000 is a wasteful number, since it uses less digits than its factorization.

11311321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11311321000 its reverse (12311311), we get a palindrome (11323632311).

The spelling of 11311321000 in words is "eleven billion, three hundred eleven million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1061 1400 1523 1750 2122 3046 3500 4244 5305 6092 7000 7427 7615 8488 10610 10661 12184 14854 15230 21220 21322 26525 29708 30460 37135 38075 42440 42644 53050 53305 59416 60920 74270 76150 85288 106100 106610 132625 148540 152300 185675 190375 212200 213220 265250 266525 297080 304600 371350 380750 426440 530500 533050 742700 761500 928375 1061000 1066100 1332625 1485400 1523000 1615903 1856750 2132200 2665250 3231806 3713500 5330500 6463612 7427000 8079515 10661000 11311321 12927224 16159030 22622642 32318060 40397575 45245284 56556605 64636120 80795150 90490568 113113210 161590300 201987875 226226420 282783025 323180600 403975750 452452840 565566050 807951500 1131132100 1413915125 1615903000 2262264200 2827830250 5655660500 11311321000