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212222131024 = 2452125458509
BaseRepresentation
bin1100010110100101101…
…1001011101101010000
3202021210010101021022211
43011221123023231100
511434112331143044
6241254332441504
721222030231031
oct3055133135520
9667703337284
10212222131024
1182003951132
1235168919294
13170214b9377
14a3b3402a88
1557c1471634
hex31696cbb50

212222131024 has 20 divisors (see below), whose sum is σ = 411969608820. Its totient is φ = 105907393280.

The previous prime is 212222131007. The next prime is 212222131057. The reversal of 212222131024 is 420131222212.

212222131024 is digitally balanced in base 2 and base 3, 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 2 ways, for example, as 148172644624 + 64049486400 = 384932^2 + 253080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212222130986 and 212222131004.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 12720919 + ... + 12737590.

It is an arithmetic number, because the mean of its divisors is an integer number (20598480441).

Almost surely, 2212222131024 is an apocalyptic number.

It is an amenable number.

212222131024 is a deficient number, since it is larger than the sum of its proper divisors (199747477796).

212222131024 is a wasteful number, since it uses less digits than its factorization.

212222131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25459038 (or 25459032 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 212222131024 its reverse (420131222212), we get a palindrome (632353353236).

The spelling of 212222131024 in words is "two hundred twelve billion, two hundred twenty-two million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 521 1042 2084 4168 8336 25458509 50917018 101834036 203668072 407336144 13263883189 26527766378 53055532756 106111065512 212222131024