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10212313320 = 233251113918553
BaseRepresentation
bin10011000001011001…
…11000100011101000
3222100201021021020200
421200230320203220
5131403323011240
64405205152200
7511033142136
oct114054704350
928321237220
1010212313320
114370648170
121b900bb660
13c69996261
146cc42c756
153eb84a930
hex260b388e8

10212313320 has 192 divisors, whose sum is σ = 36469742400. Its totient is φ = 2457768960.

The previous prime is 10212313303. The next prime is 10212313351. The reversal of 10212313320 is 2331321201.

10212313320 is a `hidden beast` number, since 10 + 21 + 2 + 313 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10212313293 and 10212313302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541164 + ... + 559716.

It is an arithmetic number, because the mean of its divisors is an integer number (189946575).

Almost surely, 210212313320 is an apocalyptic number.

10212313320 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 10212313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18234871200).

10212313320 is an abundant number, since it is smaller than the sum of its proper divisors (26257429080).

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

10212313320 is a wasteful number, since it uses less digits than its factorization.

10212313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18720 (or 18713 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10212313320 its reverse (2331321201), we get a palindrome (12543634521).

The spelling of 10212313320 in words is "ten billion, two hundred twelve million, three hundred thirteen thousand, three hundred twenty".