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10332120320 = 28514835443
BaseRepresentation
bin10011001111101011…
…11010010100000000
3222200001201002112222
421213311322110000
5132130010322240
64425125110212
7514016400524
oct114765722400
928601632488
1010332120320
114422237a15
122004258368
13c88753382
147002d7d84
15407113eb5
hex267d7a500

10332120320 has 72 divisors (see below), whose sum is σ = 24769895136. Its totient is φ = 4129302528.

The previous prime is 10332120301. The next prime is 10332120343. The reversal of 10332120320 is 2302123301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1895519 + ... + 1900961.

Almost surely, 210332120320 is an apocalyptic number.

10332120320 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 10332120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384947568).

10332120320 is an abundant number, since it is smaller than the sum of its proper divisors (14437774816).

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

10332120320 is an equidigital number, since it uses as much as digits as its factorization.

10332120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6947 (or 6933 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10332120320 its reverse (2302123301), we get a palindrome (12634243621).

The spelling of 10332120320 in words is "ten billion, three hundred thirty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1483 2966 5443 5932 7415 10886 11864 14830 21772 23728 27215 29660 43544 47456 54430 59320 87088 94912 108860 118640 174176 189824 217720 237280 348352 379648 435440 474560 696704 870880 949120 1393408 1741760 1898240 3483520 6967040 8071969 16143938 32287876 40359845 64575752 80719690 129151504 161439380 258303008 322878760 516606016 645757520 1033212032 1291515040 2066424064 2583030080 5166060160 10332120320