Search a number
-
+
1001022330321 = 331322671258013
BaseRepresentation
bin11101001000100011001…
…01001001010111010001
310112200210222010012001000
432210101211021113101
5112400043204032241
62043510250332213
7132215160262626
oct16442145112721
93480728105030
101001022330321
11356593010892
1214200842a069
137351c023a20
143664212834d
151b08b3a8eb6
hexe9119495d1

1001022330321 has 32 divisors (see below), whose sum is σ = 1597778421120. Its totient is φ = 615741521472.

The previous prime is 1001022330293. The next prime is 1001022330353. The reversal of 1001022330321 is 1230332201001.

1001022330321 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 2 + 2 + 330 + 321 = 666.

It is not a de Polignac number, because 1001022330321 - 210 = 1001022329297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001022330294 and 1001022330303.

It is not an unprimeable number, because it can be changed into a prime (1001022330221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166711 + ... + 1424723.

It is an arithmetic number, because the mean of its divisors is an integer number (49930575660).

Almost surely, 21001022330321 is an apocalyptic number.

It is an amenable number.

1001022330321 is a deficient number, since it is larger than the sum of its proper divisors (596756090799).

1001022330321 is a wasteful number, since it uses less digits than its factorization.

1001022330321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260302 (or 1260296 counting only the distinct ones).

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

Adding to 1001022330321 its reverse (1230332201001), we get a palindrome (2231354531322).

The spelling of 1001022330321 in words is "one trillion, one billion, twenty-two million, three hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 2267 6801 20403 29471 61209 88413 265239 795717 1258013 3774039 11322117 16354169 33966351 49062507 147187521 441562563 2851915471 8555746413 25667239239 37074901123 77001717717 111224703369 333674110107 1001022330321