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11331032320 = 28523337993
BaseRepresentation
bin10101000110110000…
…11101010100000000
31002020200100002012201
422203120131110000
5141201221013240
65112211202544
7550536120436
oct124330352400
932220302181
1011331032320
114895088323
1222428a6454
1310b769c26a
14796c40d56
15464b7cd9a
hex2a361d500

11331032320 has 72 divisors (see below), whose sum is σ = 27258567336. Its totient is φ = 4512841728.

The previous prime is 11331032309. The next prime is 11331032341. The reversal of 11331032320 is 2323013311.

It can be written as a sum of positive squares in 4 ways, for example, as 290907136 + 11040125184 = 17056^2 + 105072^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279244 + ... + 317236.

It is an arithmetic number, because the mean of its divisors is an integer number (378591213).

Almost surely, 211331032320 is an apocalyptic number.

11331032320 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 11331032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629283668).

11331032320 is an abundant number, since it is smaller than the sum of its proper divisors (15927535016).

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

11331032320 is an equidigital number, since it uses as much as digits as its factorization.

11331032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38247 (or 38233 counting only the distinct ones).

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

Adding to 11331032320 its reverse (2323013311), we get a palindrome (13654045631).

The spelling of 11331032320 in words is "eleven billion, three hundred thirty-one million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 233 256 320 466 640 932 1165 1280 1864 2330 3728 4660 7456 9320 14912 18640 29824 37280 37993 59648 74560 75986 149120 151972 189965 298240 303944 379930 607888 759860 1215776 1519720 2431552 3039440 4863104 6078880 8852369 9726208 12157760 17704738 24315520 35409476 44261845 48631040 70818952 88523690 141637904 177047380 283275808 354094760 566551616 708189520 1133103232 1416379040 2266206464 2832758080 5665516160 11331032320