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212111202112 = 26171011930249
BaseRepresentation
bin1100010110001011010…
…0000001011101000000
3202021111101122111110121
43011202310001131000
511433400431431422
6241235331110024
721216212320105
oct3054264013500
9667441574417
10212111202112
1181a57275647
1235137742314
131700451a264
14a3a27a8aac
1557b685d8c7
hex3162d01740

212111202112 has 56 divisors (see below), whose sum is σ = 450080253000. Its totient is φ = 98828697600.

The previous prime is 212111202103. The next prime is 212111202119. The reversal of 212111202112 is 211202111212.

It can be written as a sum of positive squares in 4 ways, for example, as 137896366336 + 74214835776 = 371344^2 + 272424^2 .

It is a super-2 number, since 2×2121112021122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111202119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855237 + ... + 1075012.

It is an arithmetic number, because the mean of its divisors is an integer number (8037147375).

Almost surely, 2212111202112 is an apocalyptic number.

It is an amenable number.

212111202112 is an abundant number, since it is smaller than the sum of its proper divisors (237969050888).

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

212111202112 is a wasteful number, since it uses less digits than its factorization.

212111202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930379 (or 1930369 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212111202112 its reverse (211202111212), we get a palindrome (423313313324).

The spelling of 212111202112 in words is "two hundred twelve billion, one hundred eleven million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 136 202 272 404 544 808 1088 1616 1717 3232 3434 6464 6868 13736 27472 54944 109888 1930249 3860498 7720996 15441992 30883984 32814233 61767968 65628466 123535936 131256932 194955149 262513864 389910298 525027728 779820596 1050055456 1559641192 2100110912 3119282384 3314237533 6238564768 6628475066 12477129536 13256950132 26513900264 53027800528 106055601056 212111202112