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223203231311301 = 3377271069857169
BaseRepresentation
bin110010110000000010001101…
…010100001010010111000101
31002021022000112221221010222000
4302300002031110022113011
5213223430204203430201
62110414052055255513
765004621101260263
oct6260021524122705
91067260487833860
10223203231311301
1165134a601a726a
122104a34667a599
139770c889a42a7
143d19146075433
151ac1065623d86
hexcb008d50a5c5

223203231311301 has 16 divisors (see below), whose sum is σ = 330714248390400. Its totient is φ = 148782896639424.

The previous prime is 223203231311287. The next prime is 223203231311317. The reversal of 223203231311301 is 103113132302322.

223203231311301 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 0 + 32 + 313 + 11 + 301 = 666.

It is not a de Polignac number, because 223203231311301 - 27 = 223203231311173 is a prime.

It is a super-3 number, since 3×2232032313113013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223203231311321) 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 15 ways as a sum of consecutive naturals, for example, 534719956 + ... + 535137213.

It is an arithmetic number, because the mean of its divisors is an integer number (20669640524400).

Almost surely, 2223203231311301 is an apocalyptic number.

It is an amenable number.

223203231311301 is a deficient number, since it is larger than the sum of its proper divisors (107511017079099).

223203231311301 is a wasteful number, since it uses less digits than its factorization.

223203231311301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069864905 (or 1069864899 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 223203231311301 its reverse (103113132302322), we get a palindrome (326316363613623).

The spelling of 223203231311301 in words is "two hundred twenty-three trillion, two hundred three billion, two hundred thirty-one million, three hundred eleven thousand, three hundred one".

Divisors: 1 3 9 27 7727 23181 69543 208629 1069857169 3209571507 9628714521 28886143563 8266786344863 24800359034589 74401077103767 223203231311301