Search a number
-
+
223201122312231 = 3273542874957337
BaseRepresentation
bin110010110000000000001111…
…100110111110000000100111
31002021021211002222110220010100
4302300000033212332000213
5213223411344302442411
62110413102520155143
765004514612133040
oct6260001746760047
91067254088426110
10223201122312231
1165134078782028
1221049a58308ab3
139770a10a8534b
143d18dc5d258c7
151ac0e903d0456
hexcb000f9be027

223201122312231 has 12 divisors (see below), whose sum is σ = 368458995563152. Its totient is φ = 127543498464096.

The previous prime is 223201122312197. The next prime is 223201122312253. The reversal of 223201122312231 is 132213221102322.

223201122312231 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 0 + 112 + 2 + 312 + 231 = 666.

It is not a de Polignac number, because 223201122312231 - 211 = 223201122310183 is a prime.

It is a super-3 number, since 3×2232011223122313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223201122312195 and 223201122312204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223201122302231) 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, 1771437478606 + ... + 1771437478731.

Almost surely, 2223201122312231 is an apocalyptic number.

223201122312231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

223201122312231 is a deficient number, since it is larger than the sum of its proper divisors (145257873250921).

223201122312231 is a wasteful number, since it uses less digits than its factorization.

223201122312231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542874957350 (or 3542874957347 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 223201122312231 its reverse (132213221102322), we get a palindrome (355414343414553).

The spelling of 223201122312231 in words is "two hundred twenty-three trillion, two hundred one billion, one hundred twenty-two million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 63 3542874957337 10628624872011 24800124701359 31885874616033 74400374104077 223201122312231