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10523331320 = 2353716742577
BaseRepresentation
bin10011100110011110…
…10100101011111000
31000011101111121201212
421303033110223320
5133022433100240
64500115302252
7521530561145
oct116317245370
930141447655
1010523331320
114510167637
1220582aa988
13cb9251088
1471b86d3cc
15418cd4165
hex2733d4af8

10523331320 has 64 divisors (see below), whose sum is σ = 24463615680. Its totient is φ = 4070946816.

The previous prime is 10523331311. The next prime is 10523331353. The reversal of 10523331320 is 2313332501.

It is a super-2 number, since 2×105233313202 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 225872 + ... + 268448.

It is an arithmetic number, because the mean of its divisors is an integer number (382243995).

Almost surely, 210523331320 is an apocalyptic number.

10523331320 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 10523331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12231807840).

10523331320 is an abundant number, since it is smaller than the sum of its proper divisors (13940284360).

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

10523331320 is a wasteful number, since it uses less digits than its factorization.

10523331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42792 (or 42788 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 10523331320 its reverse (2313332501), we get a palindrome (12836663821).

The spelling of 10523331320 in words is "ten billion, five hundred twenty-three million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 167 185 296 334 370 668 740 835 1336 1480 1670 3340 6179 6680 12358 24716 30895 42577 49432 61790 85154 123580 170308 212885 247160 340616 425770 851540 1575349 1703080 3150698 6301396 7110359 7876745 12602792 14220718 15753490 28441436 31506980 35551795 56882872 63013960 71103590 142207180 263083283 284414360 526166566 1052333132 1315416415 2104666264 2630832830 5261665660 10523331320