Search a number
-
+
1004223200331 = 313195922969949
BaseRepresentation
bin11101001110100000101…
…11011111110001001011
310120000002001010020020010
432213100113133301023
5112423122114402311
62045200032203003
7132360405235311
oct16472027376113
93500061106203
101004223200331
113579858a88aa
12142760399463
137390c208550
143686729c0b1
151b1c73c9da6
hexe9d05dfc4b

1004223200331 has 32 divisors (see below), whose sum is σ = 1543580640000. Its totient is φ = 575535017088.

The previous prime is 1004223200329. The next prime is 1004223200353. The reversal of 1004223200331 is 1330023224001.

It is not a de Polignac number, because 1004223200331 - 21 = 1004223200329 is a prime.

It is a super-2 number, since 2×10042232003312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004223200298 and 1004223200307.

It is not an unprimeable number, because it can be changed into a prime (1004223200311) 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 31 ways as a sum of consecutive naturals, for example, 11441256 + ... + 11528693.

It is an arithmetic number, because the mean of its divisors is an integer number (48236895000).

Almost surely, 21004223200331 is an apocalyptic number.

1004223200331 is a deficient number, since it is larger than the sum of its proper divisors (539357439669).

1004223200331 is a wasteful number, since it uses less digits than its factorization.

1004223200331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22970043.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1004223200331 its reverse (1330023224001), we get a palindrome (2334246424332).

The spelling of 1004223200331 in words is "one trillion, four billion, two hundred twenty-three million, two hundred thousand, three hundred thirty-one".

Divisors: 1 3 13 19 39 57 59 177 247 741 767 1121 2301 3363 14573 43719 22969949 68909847 298609337 436429031 895828011 1309287093 1355226991 4065680973 5673577403 17020732209 17617950883 25749312829 52853852649 77247938487 334741066777 1004223200331