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11323232001320 = 2352361641314771
BaseRepresentation
bin1010010011000110010100…
…1110001001110100101000
31111002111020111200122121212
42210301211032021310220
52441004434343020240
640025453155052252
72246035146645161
oct244614516116450
944074214618555
1011323232001320
1136761792a56a8
12132a6275a1088
13641a123c1cb5
142b2093d18768
15149823704165
hexa4c65389d28

11323232001320 has 128 divisors (see below), whose sum is σ = 27063038926080. Its totient is φ = 4254683136000.

The previous prime is 11323232001287. The next prime is 11323232001353. The reversal of 11323232001320 is 2310023232311.

It is an interprime number because it is at equal distance from previous prime (11323232001287) and next prime (11323232001353).

It is a Harshad number since it is a multiple of its sum of digits (23).

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 31 ways as a sum of consecutive naturals, for example, 35815535 + ... + 36130305.

It is an arithmetic number, because the mean of its divisors is an integer number (211429991610).

Almost surely, 211323232001320 is an apocalyptic number.

11323232001320 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 11323232001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13531519463040).

11323232001320 is an abundant number, since it is smaller than the sum of its proper divisors (15739806924760).

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

11323232001320 is a wasteful number, since it uses less digits than its factorization.

11323232001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315507 (or 315503 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 11323232001320 its reverse (2310023232311), we get a palindrome (13633255233631).

The spelling of 11323232001320 in words is "eleven trillion, three hundred twenty-three billion, two hundred thirty-two million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 61 92 115 122 184 230 244 305 460 488 610 641 920 1220 1282 1403 2440 2564 2806 3205 5128 5612 6410 7015 11224 12820 14030 14743 25640 28060 29486 39101 56120 58972 73715 78202 117944 147430 156404 195505 294860 312808 314771 391010 589720 629542 782020 899323 1259084 1564040 1573855 1798646 2518168 3147710 3597292 4496615 6295420 7194584 7239733 8993230 12590840 14479466 17986460 19201031 28958932 35972920 36198665 38402062 57917864 72397330 76804124 96005155 144794660 153608248 192010310 201768211 289589320 384020620 403536422 441623713 768041240 807072844 883247426 1008841055 1614145688 1766494852 2017682110 2208118565 3532989704 4035364220 4416237130 4640668853 8070728440 8832474260 9281337706 12307860871 17664948520 18562675412 23203344265 24615721742 37125350824 46406688530 49231443484 61539304355 92813377060 98462886968 123078608710 185626754120 246157217420 283080800033 492314434840 566161600066 1132323200132 1415404000165 2264646400264 2830808000330 5661616000660 11323232001320