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311040312212 = 22719769760289
BaseRepresentation
bin1001000011010110111…
…00101000001110010100
31002201211221012222221102
410201223130220032110
520044002304442322
6354520121205232
731320604013450
oct4415334501624
91081757188842
10311040312212
1110aa03169273
1250346930818
132343c1cbc26
14110a9507660
158156a62792
hex486b728394

311040312212 has 48 divisors (see below), whose sum is σ = 655674096000. Its totient is φ = 126122655744.

The previous prime is 311040312211. The next prime is 311040312217. The reversal of 311040312212 is 212213040113.

It is a super-3 number, since 3×3110403122123 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311040312211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28964 + ... + 789252.

It is an arithmetic number, because the mean of its divisors is an integer number (13659877000).

Almost surely, 2311040312212 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 311040312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327837048000).

311040312212 is an abundant number, since it is smaller than the sum of its proper divisors (344633783788).

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

311040312212 is a wasteful number, since it uses less digits than its factorization.

311040312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761088 (or 761086 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 311040312212 its reverse (212213040113), we get a palindrome (523253352325).

The spelling of 311040312212 in words is "three hundred eleven billion, forty million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 769 1538 3076 5383 10766 14611 21532 29222 58444 102277 204554 409108 760289 1520578 3041156 5322023 10644046 14445491 21288092 28890982 57781964 101118437 202236874 404473748 584662241 1169324482 2338648964 4092635687 8185271374 11108582579 16370542748 22217165158 44434330316 77760078053 155520156106 311040312212