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212224043129 = 7273173342949
BaseRepresentation
bin1100010110100110001…
…0011110100001111001
3202021210020222102020112
43011221202132201321
511434113323340004
6241254441434105
721222052413500
oct3055142364171
9667706872215
10212224043129
1182004a3778a
123516949b935
1317021a087a7
14a3b377d837
1557c16ece6e
hex316989e879

212224043129 has 24 divisors (see below), whose sum is σ = 251701979400. Its totient is φ = 178376857344.

The previous prime is 212224043027. The next prime is 212224043149. The reversal of 212224043129 is 921340422212.

212224043129 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 4 ways, for example, as 140045847529 + 72178195600 = 374227^2 + 268660^2 .

It is a de Polignac number, because none of the positive numbers 2k-212224043129 is a prime.

It is a super-2 number, since 2×2122240431292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212224043095 and 212224043104.

It is not an unprimeable number, because it can be changed into a prime (212224043149) 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 23 ways as a sum of consecutive naturals, for example, 447347 + ... + 790295.

It is an arithmetic number, because the mean of its divisors is an integer number (10487582475).

Almost surely, 2212224043129 is an apocalyptic number.

It is an amenable number.

212224043129 is a deficient number, since it is larger than the sum of its proper divisors (39477936271).

212224043129 is a wasteful number, since it uses less digits than its factorization.

212224043129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343209 (or 343202 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 212224043129 in words is "two hundred twelve billion, two hundred twenty-four million, forty-three thousand, one hundred twenty-nine".

Divisors: 1 7 49 73 173 511 1211 3577 8477 12629 88403 342949 618821 2400643 16804501 25035277 59330177 175246939 415311239 1226728573 2907178673 4331102921 30317720447 212224043129