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223142142321 = 32743587914011
BaseRepresentation
bin1100111111010001001…
…1101110000101110001
3210022222011022022200200
43033310103232011301
512123443342023241
6250302102305413
722056445625460
oct3176423560561
9708864268620
10223142142321
11866a7a1625a
12372b5a28269
1318071988807
14ab2b8109d7
155c0eeb04b6
hex33f44ee171

223142142321 has 48 divisors (see below), whose sum is σ = 377019202560. Its totient is φ = 124514379360.

The previous prime is 223142142317. The next prime is 223142142373. The reversal of 223142142321 is 123241241322.

223142142321 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 421 + 4 + 232 + 1 = 666.

It is not a de Polignac number, because 223142142321 - 22 = 223142142317 is a prime.

It is a super-3 number, since 3×2231421423213 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223142144321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15919206 + ... + 15933216.

It is an arithmetic number, because the mean of its divisors is an integer number (7854566720).

Almost surely, 2223142142321 is an apocalyptic number.

223142142321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

223142142321 is a deficient number, since it is larger than the sum of its proper divisors (153877060239).

223142142321 is a wasteful number, since it uses less digits than its factorization.

223142142321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19946 (or 19943 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 223142142321 its reverse (123241241322), we get a palindrome (346383383643).

Subtracting from 223142142321 its reverse (123241241322), we obtain a palindrome (99900900999).

The spelling of 223142142321 in words is "two hundred twenty-three billion, one hundred forty-two million, one hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 43 63 129 301 387 903 2709 5879 14011 17637 41153 42033 52911 98077 123459 126099 252797 294231 370377 602473 758391 882693 1769579 1807419 2275173 4217311 5308737 5422257 12651933 15926211 37955799 82370669 247112007 576594683 741336021 1729784049 3541938767 5189352147 10625816301 24793571369 31877448903 74380714107 223142142321