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331113300 = 223527295437
BaseRepresentation
bin10011101111000…
…110001101010100
3212002001022001120
4103233012031110
51134231111200
652504523540
711130262620
oct2357061524
9762038046
10331113300
1115a9a5361
1292a805b0
13537a273b
1431d92180
151e1079a0
hex13bc6354

331113300 has 144 divisors (see below), whose sum is σ = 1132844160. Its totient is φ = 73059840.

The previous prime is 331113281. The next prime is 331113347. The reversal of 331113300 is 3311133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 331113300.

It is a congruent number.

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, 58182 + ... + 63618.

Almost surely, 2331113300 is an apocalyptic number.

331113300 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 331113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566422080).

331113300 is an abundant number, since it is smaller than the sum of its proper divisors (801730860).

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

331113300 is a wasteful number, since it uses less digits than its factorization.

331113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 331113300 is about 18196.5188978552. The cubic root of 331113300 is about 691.8185592447.

Adding to 331113300 its reverse (3311133), we get a palindrome (334424433).

331113300 divided by its reverse (3311133) gives a square (100 = 102).

The spelling of 331113300 in words is "three hundred thirty-one million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 42 50 58 60 70 75 84 87 100 105 116 140 145 150 174 175 203 210 290 300 348 350 406 420 435 525 580 609 700 725 812 870 1015 1050 1218 1450 1740 2030 2100 2175 2436 2900 3045 4060 4350 5075 5437 6090 8700 10150 10874 12180 15225 16311 20300 21748 27185 30450 32622 38059 54370 60900 65244 76118 81555 108740 114177 135925 152236 157673 163110 190295 228354 271850 315346 326220 380590 407775 456708 473019 543700 570885 630692 761180 788365 815550 946038 951475 1103711 1141770 1576730 1631100 1892076 1902950 2207422 2283540 2365095 2854425 3153460 3311133 3805900 3941825 4414844 4730190 5518555 5708850 6622266 7883650 9460380 11037110 11417700 11825475 13244532 15767300 16555665 22074220 23650950 27592775 33111330 47301900 55185550 66222660 82778325 110371100 165556650 331113300