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10212011320 = 2357192313259
BaseRepresentation
bin10011000001010111…
…01110110100111000
3222100200200220222111
421200223232310320
5131403233330240
64405154502104
7511030443520
oct114053566470
928320626874
1010212011320
114370461285
121b8bb94934
13c698bb964
146cc390680
153eb7db1ea
hex260aeed38

10212011320 has 192 divisors, whose sum is σ = 28617062400. Its totient is φ = 3208999680.

The previous prime is 10212011317. The next prime is 10212011321. The reversal of 10212011320 is 2311021201.

10212011320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10212011320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212011321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3131851 + ... + 3135109.

It is an arithmetic number, because the mean of its divisors is an integer number (149047200).

Almost surely, 210212011320 is an apocalyptic number.

10212011320 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 10212011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308531200).

10212011320 is an abundant number, since it is smaller than the sum of its proper divisors (18405051080).

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

10212011320 is a wasteful number, since it uses less digits than its factorization.

10212011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10212011320 its reverse (2311021201), we get a palindrome (12523032521).

The spelling of 10212011320 in words is "ten billion, two hundred twelve million, eleven thousand, three hundred twenty".