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10302122220 = 22351322695821
BaseRepresentation
bin10011001100000110…
…11110100011101100
3222120222021000220020
421212003132203230
5132044320402340
64422134122140
7513203410515
oct114603364354
928528230806
1010302122220
1144073089a5
121bb61b0350
13c8247c210
146da329a0c
1540468a9d0
hex2660de8ec

10302122220 has 96 divisors (see below), whose sum is σ = 31083890880. Its totient is φ = 2534353920.

The previous prime is 10302122177. The next prime is 10302122227. The reversal of 10302122220 is 2222120301.

It is a happy number.

10302122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103021222202 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10302122220.

It is not an unprimeable number, because it can be changed into a prime (10302122227) 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 31 ways as a sum of consecutive naturals, for example, 1766910 + ... + 1772730.

It is an arithmetic number, because the mean of its divisors is an integer number (323790530).

Almost surely, 210302122220 is an apocalyptic number.

10302122220 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 10302122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15541945440).

10302122220 is an abundant number, since it is smaller than the sum of its proper divisors (20781768660).

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

10302122220 is a wasteful number, since it uses less digits than its factorization.

10302122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8115 (or 8113 counting only the distinct ones).

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

Adding to 10302122220 its reverse (2222120301), we get a palindrome (12524242521).

The spelling of 10302122220 in words is "ten billion, three hundred two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2269 4538 5821 6807 9076 11345 11642 13614 17463 22690 23284 27228 29105 29497 34035 34926 45380 58210 58994 68070 69852 75673 87315 88491 116420 117988 136140 147485 151346 174630 176982 227019 294970 302692 349260 353964 378365 442455 454038 589940 756730 884910 908076 1135095 1513460 1769820 2270190 4540380 13207849 26415698 39623547 52831396 66039245 79247094 132078490 158494188 171702037 198117735 264156980 343404074 396235470 515106111 686808148 792470940 858510185 1030212222 1717020370 2060424444 2575530555 3434040740 5151061110 10302122220