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10264221210 = 2353173151189
BaseRepresentation
bin10011000111100101…
…11001011000011010
3222111022221110111010
421203302321120122
5132010120034320
64414301514350
7512233304115
oct114362713032
928438843433
1010264221210
114397981351
121ba55729b6
13c7766bb99
146d52a157c
154011a0ae0
hex263cb961a

10264221210 has 64 divisors (see below), whose sum is σ = 25777290240. Its totient is φ = 2612528640.

The previous prime is 10264221167. The next prime is 10264221353. The reversal of 10264221210 is 1212246201.

10264221210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7705 + ... + 143484.

It is an arithmetic number, because the mean of its divisors is an integer number (402770160).

Almost surely, 210264221210 is an apocalyptic number.

10264221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10264221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888645120).

10264221210 is an abundant number, since it is smaller than the sum of its proper divisors (15513069030).

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

10264221210 is a wasteful number, since it uses less digits than its factorization.

10264221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151303.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10264221210 its reverse (1212246201), we get a palindrome (11476467411).

The spelling of 10264221210 in words is "ten billion, two hundred sixty-four million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 73 93 146 155 186 219 310 365 438 465 730 930 1095 2190 2263 4526 6789 11315 13578 22630 33945 67890 151189 302378 453567 755945 907134 1511890 2267835 4535670 4686859 9373718 11036797 14060577 22073594 23434295 28121154 33110391 46868590 55183985 66220782 70302885 110367970 140605770 165551955 331103910 342140707 684281414 1026422121 1710703535 2052844242 3421407070 5132110605 10264221210