Search a number
-
+
1004032021223 = 7111091791913499
BaseRepresentation
bin11101001110001001111…
…10001101001011100111
310112222120201101022210102
432213010332031023213
5112422224144134343
62045125042414315
7132352564236650
oct16470476151347
93488521338712
101004032021223
113578979a0140
1214270836139b
13738ab71c20a
1436849b34527
151b1b57143b8
hexe9c4f8d2e7

1004032021223 has 64 divisors (see below), whose sum is σ = 1277337600000. Its totient is φ = 766599292800.

The previous prime is 1004032021219. The next prime is 1004032021247. The reversal of 1004032021223 is 3221202304001.

It is not a de Polignac number, because 1004032021223 - 22 = 1004032021219 is a prime.

It is a super-2 number, since 2×10040320212232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004032021195 and 1004032021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004032021283) 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 63 ways as a sum of consecutive naturals, for example, 286946528 + ... + 286950026.

It is an arithmetic number, because the mean of its divisors is an integer number (19958400000).

Almost surely, 21004032021223 is an apocalyptic number.

1004032021223 is a deficient number, since it is larger than the sum of its proper divisors (273305578777).

1004032021223 is a wasteful number, since it uses less digits than its factorization.

1004032021223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1004032021223 its reverse (3221202304001), we get a palindrome (4225234325224).

The spelling of 1004032021223 in words is "one trillion, four billion, thirty-two million, twenty-one thousand, two hundred twenty-three".

Divisors: 1 7 11 77 109 179 191 763 1199 1253 1337 1969 2101 3499 8393 13783 14707 19511 20819 24493 34189 38489 136577 145733 214621 229009 239323 269423 376079 381391 626321 668309 1502347 1603063 2632553 2669737 3726601 4195301 4384247 4678163 6889531 7351399 26086207 29367107 40992611 48226717 51459793 68268989 72845681 119627311 286948277 477882923 509919767 750958879 801302491 837391177 1315900421 5256712153 5609117437 9211302947 13039376899 91275638293 143433145889 1004032021223