Search a number
-
+
221331443123 = 72791371492801
BaseRepresentation
bin1100111000100001100…
…0011100110110110011
3210011021222011021100102
43032020120130312303
512111241322134443
6245402300543015
721663541140200
oct3161030346663
9704258137312
10221331443123
118595891413a
1236a8b551a6b
1317b437c087b
14a9d9150ca7
155b56041cb8
hex338861cdb3

221331443123 has 48 divisors (see below), whose sum is σ = 264486384000. Its totient is φ = 184630118400.

The previous prime is 221331443089. The next prime is 221331443143. The reversal of 221331443123 is 321344133122.

221331443123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221331443123 - 26 = 221331443059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221331443143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79017323 + ... + 79020123.

It is an arithmetic number, because the mean of its divisors is an integer number (5510133000).

Almost surely, 2221331443123 is an apocalyptic number.

221331443123 is a deficient number, since it is larger than the sum of its proper divisors (43154940877).

221331443123 is a wasteful number, since it uses less digits than its factorization.

221331443123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3173 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

Adding to 221331443123 its reverse (321344133122), we get a palindrome (542675576245).

The spelling of 221331443123 in words is "two hundred twenty-one billion, three hundred thirty-one million, four hundred forty-three thousand, one hundred twenty-three".

Divisors: 1 7 49 79 137 149 553 959 1043 2801 3871 6713 7301 10823 11771 19607 20413 75761 82397 137249 142891 221279 383737 417349 530327 576779 1000237 1548953 1612627 2686159 2921443 10842671 11288389 18803113 20450101 30315223 32970571 57176813 79018723 212206561 230793997 400237691 1485445927 1615557979 2801663837 4516968227 31618777589 221331443123