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11320350405 = 3571317716871
BaseRepresentation
bin10101000101011111…
…01101011011000101
31002012221020101101020
422202233231123011
5141141002203110
65111150221353
7550346251020
oct124257553305
932187211336
1011320350405
11488a0518a1
12223b1b4859
1310b53cc1c0
147956601b7
15463c6cd70
hex2a2bed6c5

11320350405 has 128 divisors (see below), whose sum is σ = 23939629056. Its totient is φ = 4431974400.

The previous prime is 11320350341. The next prime is 11320350413. The reversal of 11320350405 is 50405302311.

It is not a de Polignac number, because 11320350405 - 26 = 11320350341 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1644120 + ... + 1650990.

It is an arithmetic number, because the mean of its divisors is an integer number (187028352).

Almost surely, 211320350405 is an apocalyptic number.

11320350405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11320350405 is an abundant number, since it is smaller than the sum of its proper divisors (12619278651).

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

11320350405 is a wasteful number, since it uses less digits than its factorization.

11320350405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6987.

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 11320350405 its reverse (50405302311), we get a palindrome (61725652716).

The spelling of 11320350405 in words is "eleven billion, three hundred twenty million, three hundred fifty thousand, four hundred five".

Divisors: 1 3 5 7 13 15 17 21 35 39 51 65 71 85 91 105 119 195 213 221 255 273 355 357 455 497 595 663 923 1065 1105 1207 1365 1491 1547 1785 2485 2769 3315 3621 4615 4641 6035 6461 6871 7455 7735 8449 13845 15691 18105 19383 20613 23205 25347 32305 34355 42245 47073 48097 78455 89323 96915 103065 109837 116807 126735 144291 235365 240485 267969 329511 350421 446615 487841 549185 584035 625261 721455 817649 1339845 1463523 1518491 1647555 1752105 1875783 2439205 2452947 3126305 3414887 4088245 4555473 6341933 7317615 7592455 8293297 9378915 10244661 10629437 12264735 17074435 19025799 22777365 24879891 31709665 31888311 41466485 44393531 51223305 53147185 58053079 95128995 107812861 124399455 133180593 159441555 174159237 221967655 290265395 323438583 539064305 665902965 754690027 870796185 1617192915 2264070081 3773450135 11320350405