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10212445320 = 233571131101353
BaseRepresentation
bin10011000001011010…
…11000110010001000
3222100201111222022120
421200231120302020
5131403341222240
64405212051240
7511034232030
oct114055306210
928321458276
1010212445320
114370728360
121b90163b20
13c69a1136c
146cc4648c0
153eb874ad0
hex260b58c88

10212445320 has 512 divisors, whose sum is σ = 39932559360. Its totient is φ = 2027520000.

The previous prime is 10212445297. The next prime is 10212445333. The reversal of 10212445320 is 2354421201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 127 ways as a sum of consecutive naturals, for example, 28930264 + ... + 28930616.

It is an arithmetic number, because the mean of its divisors is an integer number (77993280).

Almost surely, 210212445320 is an apocalyptic number.

10212445320 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 10212445320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19966279680).

10212445320 is an abundant number, since it is smaller than the sum of its proper divisors (29720114040).

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

10212445320 is a wasteful number, since it uses less digits than its factorization.

10212445320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10212445320 its reverse (2354421201), we get a palindrome (12566866521).

The spelling of 10212445320 in words is "ten billion, two hundred twelve million, four hundred forty-five thousand, three hundred twenty".