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11132001222321 = 3717591414337369
BaseRepresentation
bin1010000111111101111011…
…1110100111111010110001
31110102012122022020112212110
42201333132332213322301
52424341314303103241
635401545403515533
72226155240103150
oct241773676477261
943365568215773
1011132001222321
11360206752aa91
1212b9558828ba9
13629987ab03b5
142a6b12737597
15144880072816
hexa1fdefa7eb1

11132001222321 has 64 divisors (see below), whose sum is σ = 18267077836800. Its totient is φ = 5884911138816.

The previous prime is 11132001222299. The next prime is 11132001222341. The reversal of 11132001222321 is 12322210023111.

It is not a de Polignac number, because 11132001222321 - 215 = 11132001189553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11132001222341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297875325 + ... + 297912693.

It is an arithmetic number, because the mean of its divisors is an integer number (285423091200).

Almost surely, 211132001222321 is an apocalyptic number.

It is an amenable number.

11132001222321 is a deficient number, since it is larger than the sum of its proper divisors (7135076614479).

11132001222321 is a wasteful number, since it uses less digits than its factorization.

11132001222321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51598.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11132001222321 its reverse (12322210023111), we get a palindrome (23454211245432).

The spelling of 11132001222321 in words is "eleven trillion, one hundred thirty-two billion, one million, two hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 17 21 51 59 119 177 357 413 1003 1239 3009 7021 14143 21063 37369 42429 99001 112107 240431 261583 297003 635273 721293 784749 834437 1683017 1905819 2204771 2503311 4446911 5049051 5841059 6614313 13340733 14185429 15433397 17523177 37481107 42556287 46300191 99298003 112443321 262367749 297894009 528509767 787103247 1585529301 3699568369 8984666039 11098705107 26953998117 31182076253 62892662273 93546228759 188677986819 218274533771 530095296301 654823601313 1590285888903 3710667074107 11132001222321