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10232330000 = 24548911497
BaseRepresentation
bin10011000011110010…
…01111011100010000
3222102002221012222012
421201321033130100
5131423434030000
64411202202052
7511365240614
oct114171173420
928362835865
1010232330000
114380979a82
121b96953328
13c70b84149
146d0d5d344
153ed4a1735
hex261e4f710

10232330000 has 100 divisors (see below), whose sum is σ = 25054027020. Its totient is φ = 4046592000.

The previous prime is 10232329997. The next prime is 10232330011. The reversal of 10232330000 is 3323201.

It can be written as a sum of positive squares in 10 ways, for example, as 8781938944 + 1450391056 = 93712^2 + 38084^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 884252 + ... + 895748.

Almost surely, 210232330000 is an apocalyptic number.

10232330000 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 10232330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12527013510).

10232330000 is an abundant number, since it is smaller than the sum of its proper divisors (14821697020).

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

10232330000 is an equidigital number, since it uses as much as digits as its factorization.

10232330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11614 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 10232330000 its reverse (3323201), we get a palindrome (10235653201).

The spelling of 10232330000 in words is "ten billion, two hundred thirty-two million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 625 712 890 1000 1250 1424 1780 2000 2225 2500 3560 4450 5000 7120 8900 10000 11125 11497 17800 22250 22994 35600 44500 45988 55625 57485 89000 91976 111250 114970 178000 183952 222500 229940 287425 445000 459880 574850 890000 919760 1023233 1149700 1437125 2046466 2299400 2874250 4092932 4598800 5116165 5748500 7185625 8185864 10232330 11497000 14371250 16371728 20464660 22994000 25580825 28742500 40929320 51161650 57485000 81858640 102323300 114970000 127904125 204646600 255808250 409293200 511616500 639520625 1023233000 1279041250 2046466000 2558082500 5116165000 10232330000