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223123213122 = 2356843654209
BaseRepresentation
bin1100111111001100101…
…1100000101101000010
3210022220211200121201020
43033303023200231002
512123424020304442
6250300144450310
722056126006345
oct3176313405502
9708824617636
10223123213122
1186698267497
12372ab619996
131806aa8b8c4
14ab290c445c
155c0d4c19ec
hex33f32e0b42

223123213122 has 16 divisors (see below), whose sum is σ = 446254958880. Its totient is φ = 74372982272.

The previous prime is 223123213097. The next prime is 223123213127. The reversal of 223123213122 is 221312321322.

223123213122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231232131223 (a number of 35 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 223123213092 and 223123213101.

It is not an unprimeable number, because it can be changed into a prime (223123213127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13954 + ... + 668162.

It is an arithmetic number, because the mean of its divisors is an integer number (27890934930).

Almost surely, 2223123213122 is an apocalyptic number.

223123213122 is an abundant number, since it is smaller than the sum of its proper divisors (223131745758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223123213122 is a wasteful number, since it uses less digits than its factorization.

223123213122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711057.

The product of its digits is 1728, while the sum is 24.

Adding to 223123213122 its reverse (221312321322), we get a palindrome (444435534444).

The spelling of 223123213122 in words is "two hundred twenty-three billion, one hundred twenty-three million, two hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 56843 113686 170529 341058 654209 1308418 1962627 3925254 37187202187 74374404374 111561606561 223123213122