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223112101032 = 23323098779181
BaseRepresentation
bin1100111111001010000…
…1000111110010101000
3210022220001210001210100
43033302201013302220
512123413144213112
6250255110345400
722055632365522
oct3176241076250
9708801701710
10223112101032
1186691a67847
12372a795b260
131806869aac2
14ab27830a12
155c0c5292dc
hex33f2847ca8

223112101032 has 24 divisors (see below), whose sum is σ = 604261940490. Its totient is φ = 74370700320.

The previous prime is 223112101007. The next prime is 223112101067. The reversal of 223112101032 is 230101211322.

223112101032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 112658237316 + 110453863716 = 335646^2 + 332346^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×2231121010323 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223112100996 and 223112101014.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1549389519 + ... + 1549389662.

Almost surely, 2223112101032 is an apocalyptic number.

It is an amenable number.

223112101032 is an abundant number, since it is smaller than the sum of its proper divisors (381149839458).

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

223112101032 is a wasteful number, since it uses less digits than its factorization.

223112101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098779193 (or 3098779186 counting only the distinct ones).

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

Adding to 223112101032 its reverse (230101211322), we get a palindrome (453213312354).

The spelling of 223112101032 in words is "two hundred twenty-three billion, one hundred twelve million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3098779181 6197558362 9296337543 12395116724 18592675086 24790233448 27889012629 37185350172 55778025258 74370700344 111556050516 223112101032