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311212132 = 227311171213
BaseRepresentation
bin10010100011001…
…011100001100100
3210200121012210021
4102203023201210
51114132242012
650514204524
710466155000
oct2243134144
9720535707
10311212132
1114a742310
1288283744
134c6252ba
142d491700
151c4c6007
hex128cb864

311212132 has 96 divisors (see below), whose sum is σ = 734227200. Its totient is φ = 114024960.

The previous prime is 311212127. The next prime is 311212133. The reversal of 311212132 is 231212113.

311212132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3112121322 = 193705982207970848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311212133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255958 + ... + 257170.

It is an arithmetic number, because the mean of its divisors is an integer number (7648200).

Almost surely, 2311212132 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 311212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367113600).

311212132 is an abundant number, since it is smaller than the sum of its proper divisors (423015068).

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

311212132 is a wasteful number, since it uses less digits than its factorization.

311212132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1250 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 311212132 is about 17641.2055143632. The cubic root of 311212132 is about 677.6709041756.

Adding to 311212132 its reverse (231212113), we get a palindrome (542424245).

The spelling of 311212132 in words is "three hundred eleven million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 154 187 196 238 308 343 374 476 539 686 748 833 1078 1213 1309 1372 1666 2156 2426 2618 3332 3773 4852 5236 5831 7546 8491 9163 11662 13343 15092 16982 18326 20621 23324 26686 33964 36652 41242 53372 59437 64141 82484 93401 118874 128282 144347 186802 226831 237748 256564 288694 373604 416059 453662 577388 653807 832118 907324 1010429 1307614 1587817 1664236 2020858 2615228 3175634 4041716 4576649 6351268 7073003 9153298 11114719 14146006 18306596 22229438 28292012 44458876 77803033 155606066 311212132