Search a number
-
+
11004131322 = 232679719397
BaseRepresentation
bin10100011111110010…
…11011011111111010
31001101220012210100100
422033321123133322
5140014024200242
65015532420230
7536456400342
oct121771333772
931356183310
1011004131322
1147375aa808
122171317676
131064a42c12
14765667d22
1544610854c
hex28fe5b7fa

11004131322 has 48 divisors (see below), whose sum is σ = 24225638112. Its totient is φ = 3609191520.

The previous prime is 11004131317. The next prime is 11004131429. The reversal of 11004131322 is 22313140011.

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 = 11004131295 and 11004131304.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1166328 + ... + 1175724.

It is an arithmetic number, because the mean of its divisors is an integer number (504700794).

Almost surely, 211004131322 is an apocalyptic number.

11004131322 is an abundant number, since it is smaller than the sum of its proper divisors (13221506790).

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

11004131322 is a wasteful number, since it uses less digits than its factorization.

11004131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10443 (or 10440 counting only the distinct ones).

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

Adding to 11004131322 its reverse (22313140011), we get a palindrome (33317271333).

The spelling of 11004131322 in words is "eleven billion, four million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 67 134 201 402 603 971 1206 1942 2913 5826 8739 9397 17478 18794 28191 56382 65057 84573 130114 169146 195171 390342 585513 629599 1171026 1259198 1888797 3777594 5666391 9124487 11332782 18248974 27373461 54746922 82120383 164240766 611340629 1222681258 1834021887 3668043774 5502065661 11004131322