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11325111320 = 2352914716637
BaseRepresentation
bin10101000110000011…
…10111110000011000
31002020021012021010102
422203001313300120
5141143212030240
65111440234532
7550434600155
oct124301676030
932207167112
1011325111320
114891803836
12224090ba48
1310b63a8203
1479613d22c
154643ad815
hex2a3077c18

11325111320 has 64 divisors (see below), whose sum is σ = 26382067200. Its totient is φ = 4370204160.

The previous prime is 11325111277. The next prime is 11325111337. The reversal of 11325111320 is 2311152311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11325111292 and 11325111301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1703042 + ... + 1709678.

It is an arithmetic number, because the mean of its divisors is an integer number (412219800).

Almost surely, 211325111320 is an apocalyptic number.

11325111320 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 11325111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191033600).

11325111320 is an abundant number, since it is smaller than the sum of its proper divisors (15056955880).

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

11325111320 is a wasteful number, since it uses less digits than its factorization.

11325111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148 (or 8144 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 11325111320 its reverse (2311152311), we get a palindrome (13636263631).

The spelling of 11325111320 in words is "eleven billion, three hundred twenty-five million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1471 2942 5884 6637 7355 11768 13274 14710 26548 29420 33185 42659 53096 58840 66370 85318 132740 170636 192473 213295 265480 341272 384946 426590 769892 853180 962365 1539784 1706360 1924730 3849460 7698920 9763027 19526054 39052108 48815135 78104216 97630270 195260540 283127783 390521080 566255566 1132511132 1415638915 2265022264 2831277830 5662555660 11325111320