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1020130310322 = 23461331026757
BaseRepresentation
bin11101101100001001000…
…00010011100010110010
310121112010122011010220000
432312010200103202302
5113203211324412242
62100350312530430
7133462531365264
oct16660440234262
93545118133800
101020130310322
113636a8a68aa2
1214585b6b0a16
137527596a276
1437535b6db34
151b808b72a4c
hexed848138b2

1020130310322 has 40 divisors (see below), whose sum is σ = 2286222486636. Its totient is φ = 339987660768.

The previous prime is 1020130310281. The next prime is 1020130310351. The reversal of 1020130310322 is 2230130310201.

1020130310322 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 30 + 310 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1012601450961 + 7528859361 = 1006281^2 + 86769^2 .

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 = 1020130310295 and 1020130310304.

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 19 ways as a sum of consecutive naturals, for example, 480168 + ... + 1506924.

Almost surely, 21020130310322 is an apocalyptic number.

1020130310322 is an abundant number, since it is smaller than the sum of its proper divisors (1266092176314).

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

1020130310322 is a wasteful number, since it uses less digits than its factorization.

1020130310322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032904 (or 1032895 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1020130310322 its reverse (2230130310201), we get a palindrome (3250260620523).

The spelling of 1020130310322 in words is "one trillion, twenty billion, one hundred thirty million, three hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 6133 12266 18399 36798 55197 110394 165591 331182 496773 993546 1026757 2053514 3080271 6160542 9240813 18481626 27722439 55444878 83167317 166334634 6297100681 12594201362 18891302043 37782604086 56673906129 113347812258 170021718387 340043436774 510065155161 1020130310322