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1020321102222 = 2321737412198011
BaseRepresentation
bin11101101100011111110…
…00000111100110001110
310121112121221011101011200
432312033320013212032
5113204104200232342
62100421250130330
7133500336162012
oct16661770074616
93545557141150
101020321102222
11363796731854
121458b35809a6
13752a634c296
1437553236542
151b81a7ad94c
hexed8fe0798e

1020321102222 has 96 divisors (see below), whose sum is σ = 2462635060704. Its totient is φ = 303852902400.

The previous prime is 1020321102221. The next prime is 1020321102223. The reversal of 1020321102222 is 2222011230201.

1020321102222 is a `hidden beast` number, since 1 + 0 + 20 + 321 + 102 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (1020321102221) and next prime (1020321102223).

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 = 1020321102195 and 1020321102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020321102221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634804 + ... + 1563207.

It is an arithmetic number, because the mean of its divisors is an integer number (25652448549).

Almost surely, 21020321102222 is an apocalyptic number.

1020321102222 is an abundant number, since it is smaller than the sum of its proper divisors (1442313958482).

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

1020321102222 is a wasteful number, since it uses less digits than its factorization.

1020321102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198114 (or 2198111 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1020321102222 its reverse (2222011230201), we get a palindrome (3242332332423).

The spelling of 1020321102222 in words is "one trillion, twenty billion, three hundred twenty-one million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 37 41 51 74 82 102 111 123 153 222 246 306 333 369 629 666 697 738 1258 1394 1517 1887 2091 3034 3774 4182 4551 5661 6273 9102 11322 12546 13653 25789 27306 51578 77367 154734 232101 464202 2198011 4396022 6594033 13188066 19782099 37366187 39564198 74732374 81326407 90118451 112098561 162652814 180236902 224197122 243979221 270355353 336295683 487958442 540710706 672591366 731937663 811066059 1382548919 1463875326 1532013667 1622132118 2765097838 3064027334 3334382687 4147646757 4596041001 6668765374 8295293514 9192082002 10003148061 12442940271 13788123003 20006296122 24885880542 27576246006 30009444183 56684505679 60018888366 113369011358 170053517037 340107034074 510160551111 1020321102222