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223212120001232 = 2413950757500077
BaseRepresentation
bin110010110000001010011111…
…000111110100101011010000
31002021022212111102120101021012
4302300022133013310223100
5213224101410210014412
62110422122102550052
765005354263012215
oct6260123707645320
91067285442511235
10223212120001232
11651388016815aa
1221050007438328
139771a74380b2b
143d1974a793b0c
151ac13d5b64c22
hexcb029f1f4ad0

223212120001232 has 10 divisors (see below), whose sum is σ = 432473482502418. Its totient is φ = 111606060000608.

The previous prime is 223212120001063. The next prime is 223212120001237. The reversal of 223212120001232 is 232100021212322.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 174982206311056 + 48229913690176 = 13228084^2 + 6944776^2 .

It is a super-3 number, since 3×2232121200012323 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223212120001198 and 223212120001207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223212120001237) 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 as a sum of consecutive naturals, namely, 6975378750023 + ... + 6975378750054.

Almost surely, 2223212120001232 is an apocalyptic number.

It is an amenable number.

223212120001232 is a deficient number, since it is larger than the sum of its proper divisors (209261362501186).

223212120001232 is a wasteful number, since it uses less digits than its factorization.

223212120001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13950757500085 (or 13950757500079 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 223212120001232 its reverse (232100021212322), we get a palindrome (455312141213554).

The spelling of 223212120001232 in words is "two hundred twenty-three trillion, two hundred twelve billion, one hundred twenty million, one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 13950757500077 27901515000154 55803030000308 111606060000616 223212120001232