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221331131021 = 71121320100911
BaseRepresentation
bin1100111000100001011…
…1010000101010001101
3210011021221120102020002
43032020113100222031
512111241232143041
6245402250134045
721663535400240
oct3161027205215
9704257512202
10221331131021
1185958720700
1236a8b421325
1317b437117b0
14a9d90ad257
155b55ece59b
hex33885d0a8d

221331131021 has 24 divisors (see below), whose sum is σ = 299423185152. Its totient is φ = 159199207200.

The previous prime is 221331130921. The next prime is 221331131027. The reversal of 221331131021 is 120131133122.

It is a happy number.

It is not a de Polignac number, because 221331131021 - 226 = 221264022157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221331130984 and 221331131002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221331131027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10039445 + ... + 10061466.

It is an arithmetic number, because the mean of its divisors is an integer number (12475966048).

Almost surely, 2221331131021 is an apocalyptic number.

It is an amenable number.

221331131021 is a deficient number, since it is larger than the sum of its proper divisors (78092054131).

221331131021 is a wasteful number, since it uses less digits than its factorization.

221331131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20100953 (or 20100942 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 221331131021 its reverse (120131133122), we get a palindrome (341462264143).

The spelling of 221331131021 in words is "two hundred twenty-one billion, three hundred thirty-one million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 20100911 140706377 221110021 261311843 1547770147 1829182901 2432210231 2874430273 17025471617 20121011911 31618733003 221331131021