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10232212000 = 25534395827
BaseRepresentation
bin10011000011110001…
…10010101000100000
3222102002201020002211
421201320302220200
5131423421241000
64411155451504
7511364236603
oct114170625040
928362636084
1010232212000
1143808a935a
121b968b6b94
13c70b4251a
146d0d2c33a
153ed47b7ba
hex261e32a20

10232212000 has 96 divisors (see below), whose sum is σ = 25202136960. Its totient is φ = 4082860800.

The previous prime is 10232211989. The next prime is 10232212021. The reversal of 10232212000 is 21223201.

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 15 ways as a sum of consecutive naturals, for example, 1753087 + ... + 1758913.

It is an arithmetic number, because the mean of its divisors is an integer number (262522260).

Almost surely, 210232212000 is an apocalyptic number.

10232212000 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 10232212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12601068480).

10232212000 is an abundant number, since it is smaller than the sum of its proper divisors (14969924960).

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

10232212000 is an equidigital number, since it uses as much as digits as its factorization.

10232212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10232212000 its reverse (21223201), we get a palindrome (10253435201).

The spelling of 10232212000 in words is "ten billion, two hundred thirty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 439 500 800 878 1000 1756 2000 2195 3512 4000 4390 5827 7024 8780 10975 11654 14048 17560 21950 23308 29135 35120 43900 46616 54875 58270 70240 87800 93232 109750 116540 145675 175600 186464 219500 233080 291350 351200 439000 466160 582700 728375 878000 932320 1165400 1456750 1756000 2330800 2558053 2913500 4661600 5116106 5827000 10232212 11654000 12790265 20464424 23308000 25580530 40928848 51161060 63951325 81857696 102322120 127902650 204644240 255805300 319756625 409288480 511610600 639513250 1023221200 1279026500 2046442400 2558053000 5116106000 10232212000