Search a number
-
+
223331030003201 = 1741213757044249
BaseRepresentation
bin110010110001111001001110…
…101101011110111000000001
31002021202020102110201100120012
4302301321032231132320001
5213233023422140100301
62110552505300554305
765020064055236621
oct6261711655367001
91067666373640505
10223331030003201
1165184181232aaa
122106b0720b2995
1397800447a9c43
143d213cb042881
151ac45450acebb
hexcb1e4eb5ee01

223331030003201 has 24 divisors (see below), whose sum is σ = 244145510991000. Its totient is φ = 203570385182720.

The previous prime is 223331030003197. The next prime is 223331030003339. The reversal of 223331030003201 is 102300030133322.

It can be written as a sum of positive squares in 12 ways, for example, as 166076444314225 + 57254585688976 = 12887065^2 + 7566676^2 .

It is not a de Polignac number, because 223331030003201 - 22 = 223331030003197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (223331030000201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24607076 + ... + 32437173.

It is an arithmetic number, because the mean of its divisors is an integer number (10172729624625).

Almost surely, 2223331030003201 is an apocalyptic number.

It is an amenable number.

223331030003201 is a deficient number, since it is larger than the sum of its proper divisors (20814480987799).

223331030003201 is a wasteful number, since it uses less digits than its factorization.

223331030003201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57044485 (or 57044444 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 223331030003201 its reverse (102300030133322), we get a palindrome (325631060136523).

The spelling of 223331030003201 in words is "two hundred twenty-three trillion, three hundred thirty-one billion, thirty million, three thousand, two hundred one".

Divisors: 1 17 41 137 697 1681 2329 5617 28577 95489 230297 3915049 57044249 969752233 2338814209 7815062113 39759841553 95891382569 132856055921 320417546633 1630153503673 5447098292761 13137119411953 223331030003201