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331031313300 = 2235219201128879
BaseRepresentation
bin1001101000100110000…
…00001111101110010100
31011122110010211002000010
410310103000033232110
520410423004011200
6412023525520220
732626156510452
oct4642300175624
91148403732003
10331031313300
11118431601276
12541a5873070
13252a6a7585c
14120445299d2
158926b02150
hex4d1300fb94

331031313300 has 144 divisors (see below), whose sum is σ = 1008729881600. Its totient is φ = 83584483200.

The previous prime is 331031313293. The next prime is 331031313323. The reversal of 331031313300 is 3313130133.

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 47 ways as a sum of consecutive naturals, for example, 11448261 + ... + 11477139.

Almost surely, 2331031313300 is an apocalyptic number.

331031313300 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 331031313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504364940800).

331031313300 is an abundant number, since it is smaller than the sum of its proper divisors (677698568300).

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

331031313300 is a wasteful number, since it uses less digits than its factorization.

331031313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30926 (or 30919 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 331031313300 its reverse (3313130133), we get a palindrome (334344443433).

The spelling of 331031313300 in words is "three hundred thirty-one billion, thirty-one million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2011 2850 4022 5700 6033 8044 10055 12066 20110 24132 28879 30165 38209 40220 50275 57758 60330 76418 86637 100550 114627 115516 120660 144395 150825 152836 173274 191045 201100 229254 288790 301650 346548 382090 433185 458508 548701 573135 577580 603300 721975 764180 866370 955225 1097402 1146270 1443950 1646103 1732740 1910450 2165925 2194804 2292540 2743505 2865675 2887900 3292206 3820900 4331850 5487010 5731350 6584412 8230515 8663700 10974020 11462700 13717525 16461030 27435050 32922060 41152575 54870100 58075669 82305150 116151338 164610300 174227007 232302676 290378345 348454014 580756690 696908028 871135035 1103437711 1161513380 1451891725 1742270070 2206875422 2903783450 3310313133 3484540140 4355675175 4413750844 5517188555 5807566900 6620626266 8711350350 11034377110 13241252532 16551565665 17422700700 22068754220 27585942775 33103131330 55171885550 66206262660 82757828325 110343771100 165515656650 331031313300