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223120020033 = 32181136967477
BaseRepresentation
bin1100111111001011111…
…1010101001001000001
3210022220121200101121200
43033302333111021001
512123422211120113
6250255552211413
722056056610141
oct3176277251101
9708817611550
10223120020033
1186696486479
12372aa539b69
131806a2113c1
14ab288d2921
155c0d090873
hex33f2fd5241

223120020033 has 12 divisors (see below), whose sum is σ = 324065052948. Its totient is φ = 147924874080.

The previous prime is 223120020023. The next prime is 223120020073. The reversal of 223120020033 is 330020021322.

It is a happy number.

223120020033 is a `hidden beast` number, since 2 + 231 + 200 + 200 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2622156849 + 220497863184 = 51207^2 + 469572^2 .

It is not a de Polignac number, because 223120020033 - 25 = 223120020001 is a prime.

It is a super-3 number, since 3×2231200200333 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223120019988 and 223120020015.

It is not an unprimeable number, because it can be changed into a prime (223120020023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68482110 + ... + 68485367.

It is an arithmetic number, because the mean of its divisors is an integer number (27005421079).

Almost surely, 2223120020033 is an apocalyptic number.

It is an amenable number.

223120020033 is a deficient number, since it is larger than the sum of its proper divisors (100945032915).

223120020033 is a wasteful number, since it uses less digits than its factorization.

223120020033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136967664 (or 136967661 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 223120020033 its reverse (330020021322), we get a palindrome (553140041355).

The spelling of 223120020033 in words is "two hundred twenty-three billion, one hundred twenty million, twenty thousand, thirty-three".

Divisors: 1 3 9 181 543 1629 136967477 410902431 1232707293 24791113337 74373340011 223120020033