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331142300300 = 225273761209597
BaseRepresentation
bin1001101000110011001…
…11101000001010001100
31011122201212122210112202
410310121213220022030
520411134412102200
6412042532421032
732632005052640
oct4643147501214
91148655583482
10331142300300
11118489217469
1254216a77778
13252c3a65236
141205517ac20
1589317271d5
hex4d199e828c

331142300300 has 144 divisors (see below), whose sum is σ = 857259173568. Its totient is φ = 108654566400.

The previous prime is 331142300227. The next prime is 331142300303. The reversal of 331142300300 is 3003241133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (331142300303) 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 47 ways as a sum of consecutive naturals, for example, 1475102 + ... + 1684698.

Almost surely, 2331142300300 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 331142300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428629586784).

331142300300 is an abundant number, since it is smaller than the sum of its proper divisors (526116873268).

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

331142300300 is a wasteful number, since it uses less digits than its factorization.

331142300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209716 (or 209709 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 331142300300 its reverse (3003241133), we get a palindrome (334145541433).

The spelling of 331142300300 in words is "three hundred thirty-one billion, one hundred forty-two million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 61 70 74 100 122 140 148 175 185 244 259 305 350 370 427 518 610 700 740 854 925 1036 1220 1295 1525 1708 1850 2135 2257 2590 3050 3700 4270 4514 5180 6100 6475 8540 9028 10675 11285 12950 15799 21350 22570 25900 31598 42700 45140 56425 63196 78995 112850 157990 209597 225700 315980 394975 419194 789950 838388 1047985 1467179 1579900 2095970 2934358 4191940 5239925 5868716 7335895 7755089 10479850 12785417 14671790 15510178 20959700 25570834 29343580 31020356 36679475 38775445 51141668 54285623 63927085 73358950 77550890 89497919 108571246 127854170 146717900 155101780 178995838 193877225 217142492 255708340 271428115 319635425 357991676 387754450 447489595 473060429 542856230 639270850 775508900 894979190 946120858 1085712460 1278541700 1357140575 1789958380 1892241716 2237447975 2365302145 2714281150 3311423003 4474895950 4730604290 5428562300 6622846006 8949791900 9461208580 11826510725 13245692012 16557115015 23653021450 33114230030 47306042900 66228460060 82785575075 165571150150 331142300300