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311131212 = 223717239473
BaseRepresentation
bin10010100010110…
…111110001001100
3210200110002210020
4102202313301030
51114122144322
650512342140
710465400040
oct2242676114
9720402706
10311131212
1114a697537
1288244950
134c5c7512
142d470020
151c4ac05c
hex128b7c4c

311131212 has 96 divisors (see below), whose sum is σ = 916780032. Its totient is φ = 80019456.

The previous prime is 311131193. The next prime is 311131237. The reversal of 311131212 is 212131113.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 311131191 and 311131200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28108 + ... + 37580.

It is an arithmetic number, because the mean of its divisors is an integer number (9549792).

Almost surely, 2311131212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311131212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458390016).

311131212 is an abundant number, since it is smaller than the sum of its proper divisors (605648820).

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

311131212 is a wasteful number, since it uses less digits than its factorization.

311131212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9527 (or 9525 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 311131212 is about 17638.9118712011. The cubic root of 311131212 is about 677.6121640887.

Adding to 311131212 its reverse (212131113), we get a palindrome (523262325).

Subtracting from 311131212 its reverse (212131113), we obtain a palindrome (99000099).

The spelling of 311131212 in words is "three hundred eleven million, one hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 34 42 46 51 68 69 84 92 102 119 138 161 204 238 276 322 357 391 476 483 644 714 782 966 1173 1428 1564 1932 2346 2737 4692 5474 8211 9473 10948 16422 18946 28419 32844 37892 56838 66311 113676 132622 161041 198933 217879 265244 322082 397866 435758 483123 644164 653637 795732 871516 966246 1127287 1307274 1525153 1932492 2254574 2614548 3050306 3381861 3703943 4509148 4575459 6100612 6763722 7407886 9150918 11111829 13527444 14815772 18301836 22223658 25927601 44447316 51855202 77782803 103710404 155565606 311131212