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223123120011 = 321116378717569
BaseRepresentation
bin1100111111001100101…
…1001001111110001011
3210022220211111212222200
43033303023021332023
512123424004320021
6250300142451243
722056125141031
oct3176313117613
9708824455880
10223123120011
1186698203540
12372ab593b23
131806aa583cc
14ab2909c551
155c0d4a4126
hex33f32c9f8b

223123120011 has 48 divisors (see below), whose sum is σ = 354214573440. Its totient is φ = 134218114560.

The previous prime is 223123120001. The next prime is 223123120049. The reversal of 223123120011 is 110021321322.

223123120011 is a `hidden beast` number, since 2 + 231 + 231 + 200 + 1 + 1 = 666.

It is not a de Polignac number, because 223123120011 - 213 = 223123111819 is a prime.

It is a super-3 number, since 3×2231231200113 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223123120001) 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 47 ways as a sum of consecutive naturals, for example, 12691035 + ... + 12708603.

It is an arithmetic number, because the mean of its divisors is an integer number (7379470280).

Almost surely, 2223123120011 is an apocalyptic number.

223123120011 is a deficient number, since it is larger than the sum of its proper divisors (131091453429).

223123120011 is a wasteful number, since it uses less digits than its factorization.

223123120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18536 (or 18533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 223123120011 its reverse (110021321322), we get a palindrome (333144441333).

The spelling of 223123120011 in words is "two hundred twenty-three billion, one hundred twenty-three million, one hundred twenty thousand, eleven".

Divisors: 1 3 9 11 33 99 163 489 787 1467 1793 2361 5379 7083 8657 16137 17569 25971 52707 77913 128281 158121 193259 384843 579777 1154529 1411091 1739331 2863747 4233273 8591241 12699819 13826803 25773723 31501217 41480409 94503651 124441227 152094833 283510953 456284499 1368853497 2253768889 6761306667 20283920001 24791457779 74374373337 223123120011