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212111111212 = 2272111310174929
BaseRepresentation
bin1100010110001011001…
…1101011010000101100
3202021111101110212202221
43011202303223100230
511433400421024322
6241235325125124
721216211461100
oct3054263532054
9667441425687
10212111111212
1181a57213320
12351376b97a4
13170044b7a80
14a3a2783900
1557b68419c7
hex3162ceb42c

212111111212 has 144 divisors (see below), whose sum is σ = 512316191520. Its totient is φ = 75527424000.

The previous prime is 212111111209. The next prime is 212111111237.

212111111212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2121111112122 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2793364 + ... + 2868292.

It is an arithmetic number, because the mean of its divisors is an integer number (3557751330).

Almost surely, 2212111111212 is an apocalyptic number.

212111111212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256158095760).

212111111212 is an abundant number, since it is smaller than the sum of its proper divisors (300205080308).

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

212111111212 is a wasteful number, since it uses less digits than its factorization.

212111111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75072 (or 75063 counting only the distinct ones).

The product of its digits is 16, while the sum is 16.

It can be divided in two parts, 212111 and 111212, that added together give a palindrome (323323).

The spelling of 212111111212 in words is "two hundred twelve billion, one hundred eleven million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 101 143 154 182 196 202 286 308 364 404 539 572 637 707 1001 1078 1111 1274 1313 1414 2002 2156 2222 2548 2626 2828 4004 4444 4949 5252 7007 7777 9191 9898 14014 14443 15554 18382 19796 28028 28886 31108 36764 54439 57772 64337 74929 101101 108878 128674 149858 202202 217756 257348 299716 404404 524503 707707 824219 974077 1049006 1415414 1648438 1948154 2098012 2830828 3296876 3671521 3896308 5769533 6818539 7343042 7567829 10714847 11539066 13637078 14686084 15135658 21429694 23078132 27274156 30271316 40386731 42859388 47729773 52974803 75003929 80773462 83246119 95459546 98381777 105949606 150007858 161546924 166492238 190919092 196763554 211899212 300015716 332984476 370823621 393527108 525027503 582722833 688672439 741647242 1050055006 1082199547 1165445666 1377344878 1483294484 2100110012 2164399094 2330891332 2754689756 4079059831 4328798188 4820707073 7575396829 8158119662 9641414146 15150793658 16316239324 19282828292 30301587316 53027777803 106055555606 212111111212