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10120222230 = 2351721816449
BaseRepresentation
bin10010110110011011…
…00101011000010110
3222010021222120000120
421123031211120112
5131211234102410
64352115252410
7505534320036
oct113315453026
928107876016
1010120222230
114323668828
121b652aa106
13c538915a1
146c00d98c6
153e3709570
hex25b365616

10120222230 has 96 divisors (see below), whose sum is σ = 25947885600. Its totient is φ = 2525552640.

The previous prime is 10120222223. The next prime is 10120222243. The reversal of 10120222230 is 3222202101.

It is a happy number.

10120222230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1566046 + ... + 1572494.

It is an arithmetic number, because the mean of its divisors is an integer number (270290475).

Almost surely, 210120222230 is an apocalyptic number.

10120222230 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 10120222230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973942800).

10120222230 is an abundant number, since it is smaller than the sum of its proper divisors (15827663370).

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

10120222230 is a wasteful number, since it uses less digits than its factorization.

10120222230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674 (or 6657 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10120222230 its reverse (3222202101), we get a palindrome (13342424331).

The spelling of 10120222230 in words is "ten billion, one hundred twenty million, two hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 181 255 289 362 510 543 578 867 905 1086 1445 1734 1810 2715 2890 3077 4335 5430 6154 6449 8670 9231 12898 15385 18462 19347 30770 32245 38694 46155 52309 64490 92310 96735 104618 109633 156927 193470 219266 261545 313854 328899 523090 548165 657798 784635 1096330 1167269 1569270 1644495 1863761 2334538 3288990 3501807 3727522 5591283 5836345 7003614 9318805 11182566 11672690 17509035 18637610 19843573 27956415 35018070 39687146 55912830 59530719 99217865 119061438 198435730 297653595 337340741 595307190 674681482 1012022223 1686703705 2024044446 3373407410 5060111115 10120222230