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221131044001 = 7237915437717
BaseRepresentation
bin1100110111110001101…
…1111111010010100001
3210010210000001221102201
43031330123333102201
512110334021402001
6245330341413201
721655555601200
oct3157433772241
9703700057381
10221131044001
118586578932a
1236a3440a201
1317b111269ca
14a9ba6a7237
155b43659501
hex337c6ff4a1

221131044001 has 24 divisors (see below), whose sum is σ = 258113382720. Its totient is φ = 188893791072.

The previous prime is 221131043993. The next prime is 221131044031. The reversal of 221131044001 is 100440131122.

It is not a de Polignac number, because 221131044001 - 23 = 221131043993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221131044001.

It is not an unprimeable number, because it can be changed into a prime (221131044031) 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 23 ways as a sum of consecutive naturals, for example, 28651195 + ... + 28658911.

It is an arithmetic number, because the mean of its divisors is an integer number (10754724280).

Almost surely, 2221131044001 is an apocalyptic number.

It is an amenable number.

221131044001 is a deficient number, since it is larger than the sum of its proper divisors (36982338719).

221131044001 is a wasteful number, since it uses less digits than its factorization.

221131044001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9653 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 221131044001 its reverse (100440131122), we get a palindrome (321571175123).

The spelling of 221131044001 in words is "two hundred twenty-one billion, one hundred thirty-one million, forty-four thousand, one".

Divisors: 1 7 49 379 1543 2653 7717 10801 18571 54019 75607 378133 584797 2924743 4093579 11907331 20473201 28655053 83351317 143312407 583459219 4512878449 31590149143 221131044001