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312112011330 = 23257528193811
BaseRepresentation
bin1001000101010110101…
…00110101100001000010
31002211121121210221202100
410202223110311201002
520103201133330310
6355214323331230
731356266215620
oct4425324654102
91084547727670
10312112011330
11110403103719
12505a5820b16
1323580251112
141116b99a510
1581baba7ec0
hex48ab535842

312112011330 has 96 divisors (see below), whose sum is σ = 927604050048. Its totient is φ = 71325619200.

The previous prime is 312112011319. The next prime is 312112011353. The reversal of 312112011330 is 33110211213.

312112011330 is a `hidden beast` number, since 312 + 1 + 1 + 20 + 1 + 1 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3280125 + ... + 3373935.

It is an arithmetic number, because the mean of its divisors is an integer number (9662542188).

Almost surely, 2312112011330 is an apocalyptic number.

312112011330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312112011330 is an abundant number, since it is smaller than the sum of its proper divisors (615492038718).

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

312112011330 is a wasteful number, since it uses less digits than its factorization.

312112011330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99112 (or 99109 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312112011330 its reverse (33110211213), we get a palindrome (345222222543).

The spelling of 312112011330 in words is "three hundred twelve billion, one hundred twelve million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 5281 10562 15843 26405 31686 36967 47529 52810 73934 79215 93811 95058 110901 158430 184835 187622 221802 237645 281433 332703 369670 469055 475290 554505 562866 656677 665406 844299 938110 1109010 1313354 1407165 1663515 1688598 1970031 2814330 3283385 3327030 3940062 4221495 5910093 6566770 8442990 9850155 11820186 19700310 29550465 59100930 495415891 990831782 1486247673 2477079455 2972495346 3467911237 4458743019 4954158910 6935822474 7431238365 8917486038 10403733711 14862476730 17339556185 20807467422 22293715095 31211201133 34679112370 44587430190 52018668555 62422402266 104037337110 156056005665 312112011330