Search a number
-
+
221310220319973 = 32137179489229781
BaseRepresentation
bin110010010100011111001101…
…000100010011110011100101
31002000121001100202210001202200
4302110133031010103303211
5213001421312400214343
62102404302304125113
764421064366321261
oct6224371504236345
91060531322701680
10221310220319973
1164575156909204
12209a34a1006799
139664605ba7755
143c916869410a1
151a8bbc02284d3
hexc947cd113ce5

221310220319973 has 12 divisors (see below), whose sum is σ = 322003678228908. Its totient is φ = 146463211500480.

The previous prime is 221310220319959. The next prime is 221310220319983. The reversal of 221310220319973 is 379913022013122.

221310220319973 is a `hidden beast` number, since 2 + 2 + 13 + 10 + 220 + 319 + 97 + 3 = 666.

221310220319973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 69181504921764 + 152128715398209 = 8317542^2 + 12334047^2 .

It is not a de Polignac number, because 221310220319973 - 25 = 221310220319941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221310220319953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89744613658 + ... + 89744616123.

It is an arithmetic number, because the mean of its divisors is an integer number (26833639852409).

Almost surely, 2221310220319973 is an apocalyptic number.

It is an amenable number.

221310220319973 is a deficient number, since it is larger than the sum of its proper divisors (100693457908935).

221310220319973 is a wasteful number, since it uses less digits than its factorization.

221310220319973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179489229924 (or 179489229921 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 221310220319973 in words is "two hundred twenty-one trillion, three hundred ten billion, two hundred twenty million, three hundred nineteen thousand, nine hundred seventy-three".

Divisors: 1 3 9 137 411 1233 179489229781 538467689343 1615403068029 24590024479997 73770073439991 221310220319973