Search a number
-
+
1000221223131 = 321371120407033
BaseRepresentation
bin11101000111000011101…
…01001010100011011011
310112121202010200201120100
432203201311022203123
5112341423113120011
62043254552030443
7132156262055304
oct16434165124333
93477663621510
101000221223131
11356211894129
12141a24092423
1373422073bc0
14365a79917ab
151b040db3d56
hexe8e1d4a8db

1000221223131 has 24 divisors (see below), whose sum is σ = 1577813773536. Its totient is φ = 606851441280.

The previous prime is 1000221223121. The next prime is 1000221223159. The reversal of 1000221223131 is 1313221220001.

It is not a de Polignac number, because 1000221223131 - 234 = 983041353947 is a prime.

It is a super-2 number, since 2×10002212231312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000221223121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60195210 + ... + 60211823.

It is an arithmetic number, because the mean of its divisors is an integer number (65742240564).

Almost surely, 21000221223131 is an apocalyptic number.

1000221223131 is a deficient number, since it is larger than the sum of its proper divisors (577592550405).

1000221223131 is a wasteful number, since it uses less digits than its factorization.

1000221223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120407123 (or 120407120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1000221223131 its reverse (1313221220001), we get a palindrome (2313442443132).

The spelling of 1000221223131 in words is "one trillion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 71 117 213 639 923 2769 8307 120407033 361221099 1083663297 1565291429 4695874287 8548899343 14087622861 25646698029 76940094087 111135691459 333407074377 1000221223131