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212123131012 = 221317268989237
BaseRepresentation
bin1100010110001110000…
…1100001110010000100
3202021112020002112211201
43011203201201302010
511433412010143022
6241240434512244
721216415602202
oct3054341416204
9667466075751
10212123131012
1181a62a82a41
123513b735684
1317006b35a90
14a3a41d2072
1557b7918127
hex3163861c84

212123131012 has 48 divisors (see below), whose sum is σ = 423448588080. Its totient is φ = 92108685312.

The previous prime is 212123131001. The next prime is 212123131013. The reversal of 212123131012 is 210131321212.

It can be written as a sum of positive squares in 8 ways, for example, as 26563784256 + 185559346756 = 162984^2 + 430766^2 .

It is a super-2 number, since 2×2121231310122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212123131013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2332458 + ... + 2421694.

It is an arithmetic number, because the mean of its divisors is an integer number (8821845585).

Almost surely, 2212123131012 is an apocalyptic number.

It is an amenable number.

212123131012 is a deficient number, since it is larger than the sum of its proper divisors (211325457068).

212123131012 is a wasteful number, since it uses less digits than its factorization.

212123131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91960 (or 91958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 212123131012 its reverse (210131321212), we get a palindrome (422254452224).

The spelling of 212123131012 in words is "two hundred twelve billion, one hundred twenty-three million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 4 13 17 26 34 52 68 221 442 884 2689 5378 10756 34957 45713 69914 89237 91426 139828 178474 182852 356948 594269 1160081 1188538 1517029 2320162 2377076 3034058 4640324 6068116 19721377 39442754 78885508 239958293 479916586 959833172 3119457809 4079290981 6238915618 8158581962 12477831236 16317163924 53030782753 106061565506 212123131012