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223223113322001 = 32136592895128767
BaseRepresentation
bin110010110000010100101110…
…011000000000111000010001
31002021100220212120102221022200
4302300110232120000320101
5213224241414002301001
62110431141011553413
765006223561466122
oct6260245630007021
91067326776387280
10223223113322001
1165142433068171
1221052174bbb869
139772b06aaa270
143d1a0b0806049
151ac182ad35086
hexcb052e600e11

223223113322001 has 24 divisors (see below), whose sum is σ = 347762867612160. Its totient is φ = 137159620418016.

The previous prime is 223223113321963. The next prime is 223223113322003. The reversal of 223223113322001 is 100223311322322.

223223113322001 is a `hidden beast` number, since 2 + 2 + 3 + 22 + 311 + 3 + 322 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 223223113322001 - 211 = 223223113319953 is a prime.

It is a super-3 number, since 3×2232231133220013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223223113322003) 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, 1447487281 + ... + 1447641486.

It is an arithmetic number, because the mean of its divisors is an integer number (14490119483840).

Almost surely, 2223223113322001 is an apocalyptic number.

It is an amenable number.

223223113322001 is a deficient number, since it is larger than the sum of its proper divisors (124539754290159).

223223113322001 is a wasteful number, since it uses less digits than its factorization.

223223113322001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895129445 (or 2895129442 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 223223113322001 its reverse (100223311322322), we get a palindrome (323446424644323).

The spelling of 223223113322001 in words is "two hundred twenty-three trillion, two hundred twenty-three billion, one hundred thirteen million, three hundred twenty-two thousand, one".

Divisors: 1 3 9 13 39 117 659 1977 5931 8567 25701 77103 2895128767 8685386301 26056158903 37636673971 112910021913 338730065739 1907889857453 5723669572359 17171008717077 24802568146889 74407704440667 223223113322001