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223222120121 = 71113941236981
BaseRepresentation
bin1100111111100100010…
…0110011111010111001
3210100011201210121121102
43033321010303322321
512124124330320441
6250314040421145
722061436500060
oct3177104637271
9710151717542
10223222120121
1186739081810
12373187777b5
131808540ba60
14ab382ad1d7
155c1700c69b
hex33f9133eb9

223222120121 has 32 divisors (see below), whose sum is σ = 300030587136. Its totient is φ = 160388064000.

The previous prime is 223222120097. The next prime is 223222120139. The reversal of 223222120121 is 121021222322.

It is a cyclic number.

It is not a de Polignac number, because 223222120121 - 210 = 223222119097 is a prime.

It is a super-3 number, since 3×2232221201213 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223222120093 and 223222120102.

It is not an unprimeable number, because it can be changed into a prime (223222120151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823451 + ... + 1060431.

It is an arithmetic number, because the mean of its divisors is an integer number (9375955848).

Almost surely, 2223222120121 is an apocalyptic number.

It is an amenable number.

223222120121 is a deficient number, since it is larger than the sum of its proper divisors (76808467015).

223222120121 is a wasteful number, since it uses less digits than its factorization.

223222120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237953.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 223222120121 its reverse (121021222322), we get a palindrome (344243342443).

It can be divided in two parts, 223222 and 120121, that added together give a palindrome (343343).

The spelling of 223222120121 in words is "two hundred twenty-three billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 941 1001 6587 10351 12233 72457 85631 134563 236981 941941 1658867 2606791 3080753 18247537 21565271 33888283 222999121 237217981 1560993847 2452990331 2898988573 17170932317 20292920011 31888874303 223222120121