Search a number
-
+
312331255320 = 233572621141863
BaseRepresentation
bin1001000101110000110…
…01001011111000011000
31002212011220100200222010
410202320121023320120
520104123300132240
6355252154425520
731364600603130
oct4427031137030
91085156320863
10312331255320
1111050593a9a7
12506471322a0
13235b67b56a6
141118cb4bac0
1581d0064280
hex48b864be18

312331255320 has 128 divisors (see below), whose sum is σ = 1071266135040. Its totient is φ = 71362260480.

The previous prime is 312331255307. The next prime is 312331255361. The reversal of 312331255320 is 23552133213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2130709 + ... + 2272571.

It is an arithmetic number, because the mean of its divisors is an integer number (8369266680).

Almost surely, 2312331255320 is an apocalyptic number.

312331255320 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 312331255320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535633067520).

312331255320 is an abundant number, since it is smaller than the sum of its proper divisors (758934879720).

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

312331255320 is a wasteful number, since it uses less digits than its factorization.

312331255320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144505 (or 144501 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 312331255320 its reverse (23552133213), we get a palindrome (335883388533).

The spelling of 312331255320 in words is "three hundred twelve billion, three hundred thirty-one million, two hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2621 5242 7863 10484 13105 15726 18347 20968 26210 31452 36694 39315 52420 55041 62904 73388 78630 91735 104840 110082 141863 146776 157260 183470 220164 275205 283726 314520 366940 425589 440328 550410 567452 709315 733880 851178 993041 1100820 1134904 1418630 1702356 1986082 2127945 2201640 2837260 2979123 3404712 3972164 4255890 4965205 5674520 5958246 7944328 8511780 9930410 11916492 14895615 17023560 19860820 23832984 29791230 39721640 59582460 119164920 371822923 743645846 1115468769 1487291692 1859114615 2230937538 2602760461 2974583384 3718229230 4461875076 5205520922 5577343845 7436458460 7808281383 8923750152 10411041844 11154687690 13013802305 14872916920 15616562766 20822083688 22309375380 26027604610 31233125532 39041406915 44618750760 52055209220 62466251064 78082813830 104110418440 156165627660 312331255320