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212111110101 = 311253101109159
BaseRepresentation
bin1100010110001011001…
…1101010111111010101
3202021111101110211020210
43011202303222333111
511433400421010401
6241235325120033
721216211454622
oct3054263527725
9667441424223
10212111110101
1181a57212500
12351376b9019
13170044b7407
14a3a2783349
1557b68414d6
hex3162ceafd5

212111110101 has 48 divisors (see below), whose sum is σ = 319866744960. Its totient is φ = 124876752000.

The previous prime is 212111110087. The next prime is 212111110111. The reversal of 212111110101 is 101011111212.

It is not a de Polignac number, because 212111110101 - 218 = 212110847957 is a prime.

It is a super-2 number, since 2×2121111101012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111110111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1888560 + ... + 1997718.

It is an arithmetic number, because the mean of its divisors is an integer number (6663890520).

Almost surely, 2212111110101 is an apocalyptic number.

It is an amenable number.

212111110101 is a deficient number, since it is larger than the sum of its proper divisors (107755634859).

212111110101 is a wasteful number, since it uses less digits than its factorization.

212111110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109338 (or 109327 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 212111110101 its reverse (101011111212), we get a palindrome (313122221313).

The spelling of 212111110101 in words is "two hundred twelve billion, one hundred eleven million, one hundred ten thousand, one hundred one".

Divisors: 1 3 11 33 53 101 121 159 303 363 583 1111 1749 3333 5353 6413 12221 16059 19239 36663 58883 109159 176649 327477 647713 1200749 1943139 3602247 5785427 11025059 13208239 17356281 33075177 39624717 63639697 121275649 190919091 363826947 584328127 700036667 1334032139 1752984381 2100110001 4002096417 6427609397 19282828191 70703703367 212111110101