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223003302131133 = 32732331456766693
BaseRepresentation
bin110010101101001000000000…
…100110110111010110111101
31002020120220111112220111000100
4302231020000212313112331
5213212141230321144013
62110142145215151313
764654312500263136
oct6255100046672675
91066526445814010
10223003302131133
1165068195407057
122101764a815539
13975817624cb54
143d0d5bb54ac8d
151abac634dd473
hexcad2009b75bd

223003302131133 has 24 divisors (see below), whose sum is σ = 327929836952952. Its totient is φ = 146002984939008.

The previous prime is 223003302131119. The next prime is 223003302131171. The reversal of 223003302131133 is 331131203300322.

223003302131133 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 0 + 330 + 213 + 113 + 3 = 666.

223003302131133 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15872112576324 + 207131189554809 = 3983982^2 + 14392053^2 .

It is not a de Polignac number, because 223003302131133 - 28 = 223003302130877 is a prime.

It is a super-2 number, since 2×2230033021311332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223003302131097 and 223003302131106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223003302139133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728230266 + ... + 728536427.

It is an arithmetic number, because the mean of its divisors is an integer number (13663743206373).

Almost surely, 2223003302131133 is an apocalyptic number.

It is an amenable number.

223003302131133 is a deficient number, since it is larger than the sum of its proper divisors (104926534821819).

223003302131133 is a wasteful number, since it uses less digits than its factorization.

223003302131133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456767005 (or 1456767002 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 223003302131133 its reverse (331131203300322), we get a palindrome (554134505431455).

The spelling of 223003302131133 in words is "two hundred twenty-three trillion, three billion, three hundred two million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 73 219 233 657 699 2097 17009 51027 153081 1456766693 4370300079 13110900237 106343968589 319031905767 339426639469 957095717301 1018279918407 3054839755221 24778144681237 74334434043711 223003302131133