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212200000020112 = 24137315789014249
BaseRepresentation
bin110000001111111010101001…
…100111110101111010010000
31000211100010021212000212110011
4300033322221213311322100
5210303141100001120422
62031151200110044304
762460641550416626
oct6017725147657220
91024303255025404
10212200000020112
1161682572a72475
121b9719467a9694
1391534b2ca6b20
143a5876b6cb516
15197ec2043a077
hexc0fea99f5e90

212200000020112 has 80 divisors (see below), whose sum is σ = 451687501174000. Its totient is φ = 95981571219456.

The previous prime is 212200000020037. The next prime is 212200000020119. The reversal of 212200000020112 is 211020000002212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1316627733136 + 210883372286976 = 1147444^2 + 14521824^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 212200000020092 and 212200000020101.

It is not an unprimeable number, because it can be changed into a prime (212200000020119) 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, 42123237 + ... + 46891012.

It is an arithmetic number, because the mean of its divisors is an integer number (5646093764675).

Almost surely, 2212200000020112 is an apocalyptic number.

It is an amenable number.

212200000020112 is an abundant number, since it is smaller than the sum of its proper divisors (239487501153888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212200000020112 is a wasteful number, since it uses less digits than its factorization.

212200000020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89014500 (or 89014494 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212200000020112 its reverse (211020000002212), we get a palindrome (423220000022324).

The spelling of 212200000020112 in words is "two hundred twelve trillion, two hundred billion, twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 157 208 292 314 584 628 949 1168 1256 1898 2041 2512 3796 4082 7592 8164 11461 15184 16328 22922 32656 45844 91688 148993 183376 297986 595972 1191944 2383888 89014249 178028498 356056996 712113992 1157185237 1424227984 2314370474 4628740948 6498040177 9257481896 12996080354 13975237093 18514963792 25992160708 27950474186 51984321416 55900948372 84474522301 103968642832 111801896744 168949044602 181678082209 223603793488 337898089204 363356164418 675796178408 726712328836 1020192307789 1351592356816 1453424657672 2040384615578 2906849315344 4080769231156 8161538462312 13262500001257 16323076924624 26525000002514 53050000005028 106100000010056 212200000020112