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311212140 = 223541731733
BaseRepresentation
bin10010100011001…
…011100001101100
3210200121012210120
4102203023201230
51114132242030
650514204540
710466155011
oct2243134154
9720535716
10311212140
1114a742318
1288283750
134c6252c5
142d491708
151c4c6010
hex128cb86c

311212140 has 96 divisors (see below), whose sum is σ = 905397696. Its totient is φ = 79810560.

The previous prime is 311212133. The next prime is 311212141. The reversal of 311212140 is 41212113.

311212140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (311212141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178714 + ... + 180446.

It is an arithmetic number, because the mean of its divisors is an integer number (9431226).

Almost surely, 2311212140 is an apocalyptic number.

311212140 is a gapful number since it is divisible by the number (30) 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 311212140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452698848).

311212140 is an abundant number, since it is smaller than the sum of its proper divisors (594185556).

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

311212140 is a wasteful number, since it uses less digits than its factorization.

311212140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 311212140 is about 17641.2057411051. The cubic root of 311212140 is about 677.6709099823.

Adding to 311212140 its reverse (41212113), we get a palindrome (352424253).

The spelling of 311212140 in words is "three hundred eleven million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 73 82 123 146 164 205 219 246 292 365 410 438 492 615 730 820 876 1095 1230 1460 1733 2190 2460 2993 3466 4380 5199 5986 6932 8665 8979 10398 11972 14965 17330 17958 20796 25995 29930 34660 35916 44895 51990 59860 71053 89790 103980 126509 142106 179580 213159 253018 284212 355265 379527 426318 506036 632545 710530 759054 852636 1065795 1265090 1421060 1518108 1897635 2131590 2530180 3795270 4263180 5186869 7590540 10373738 15560607 20747476 25934345 31121214 51868690 62242428 77803035 103737380 155606070 311212140