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212100131112 = 233371072232257
BaseRepresentation
bin1100010110001000100…
…1110010100100101000
3202021110121211000220120
43011202021302210220
511433340113143422
6241234253523240
721216016240122
oct3054211624450
9667417730816
10212100131112
1181a50aa3861
1235133aa3520
131700214207c
14a3a1126212
1557b58c345c
hex3162272928

212100131112 has 64 divisors (see below), whose sum is σ = 549671209920. Its totient is φ = 68146311168.

The previous prime is 212100131107. The next prime is 212100131141. The reversal of 212100131112 is 211131001212.

212100131112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212100131091 and 212100131100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021113 + ... + 1211144.

It is an arithmetic number, because the mean of its divisors is an integer number (8588612655).

Almost surely, 2212100131112 is an apocalyptic number.

It is an amenable number.

212100131112 is an abundant number, since it is smaller than the sum of its proper divisors (337571078808).

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

212100131112 is a wasteful number, since it uses less digits than its factorization.

212100131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232410 (or 2232406 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 212100131112 its reverse (211131001212), we get a palindrome (423231132324).

The spelling of 212100131112 in words is "two hundred twelve billion, one hundred million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 107 111 148 214 222 296 321 428 444 642 856 888 1284 2568 3959 7918 11877 15836 23754 31672 47508 95016 2232257 4464514 6696771 8929028 13393542 17858056 26787084 53574168 82593509 165187018 238851499 247780527 330374036 477702998 495561054 660748072 716554497 955405996 991122108 1433108994 1910811992 1982244216 2866217988 5732435976 8837505463 17675010926 26512516389 35350021852 53025032778 70700043704 106050065556 212100131112