Search a number
-
+
221433312443131 = 17613139331525067
BaseRepresentation
bin110010010110010001110101…
…111011011111101011111011
31002001000211002021022210211001
4302112101311323133223323
5213010430410441140011
62102541020455345431
764433012623154065
oct6226216573375373
91061024067283731
10221433312443131
1164612382135208
1220a03314382277
1396730c188c799
143c976027d0735
151a8eec68bd7c1
hexc96475edfafb

221433312443131 has 16 divisors (see below), whose sum is σ = 234858288102624. Its totient is φ = 208052773461504.

The previous prime is 221433312443117. The next prime is 221433312443183. The reversal of 221433312443131 is 131344213334122.

It is a happy number.

It is not a de Polignac number, because 221433312443131 - 221 = 221433310345979 is a prime.

It is a super-2 number, since 2×2214333124431312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221433310443131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144433260 + ... + 145958326.

It is an arithmetic number, because the mean of its divisors is an integer number (14678643006414).

Almost surely, 2221433312443131 is an apocalyptic number.

221433312443131 is a deficient number, since it is larger than the sum of its proper divisors (13424975659493).

221433312443131 is a wasteful number, since it uses less digits than its factorization.

221433312443131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539630.

The product of its digits is 124416, while the sum is 37.

Adding to 221433312443131 its reverse (131344213334122), we get a palindrome (352777525777253).

The spelling of 221433312443131 in words is "two hundred twenty-one trillion, four hundred thirty-three billion, three hundred twelve million, four hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 17 613 10421 13933 236861 1525067 8540929 25926139 145195793 934866071 15892723207 21248758511 361228894687 13025488967243 221433312443131