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214340100240300 = 2235210113153999471
BaseRepresentation
bin110000101111000011110001…
…100010010011001110101100
31001002220201021010011022102020
4300233003301202103032230
5211043222011130142200
62035510252133030140
763101363332224306
oct6057036142231654
91032821233138366
10214340100240300
11623281428292a1
1220058669a85350
13927a252abcc68
143ad018ac16976
1519ba727d33ea0
hexc2f0f18933ac

214340100240300 has 144 divisors (see below), whose sum is σ = 631078437394944. Its totient is φ = 56159448800000.

The previous prime is 214340100240283. The next prime is 214340100240361. The reversal of 214340100240300 is 3042001043412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23030436 + ... + 30969035.

It is an arithmetic number, because the mean of its divisors is an integer number (4382489148576).

Almost surely, 2214340100240300 is an apocalyptic number.

214340100240300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214340100240300 is an abundant number, since it is smaller than the sum of its proper divisors (416738337154644).

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

214340100240300 is a wasteful number, since it uses less digits than its factorization.

214340100240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53999720 (or 53999713 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214340100240300 its reverse (3042001043412), we get a palindrome (217382101283712).

The spelling of 214340100240300 in words is "two hundred fourteen trillion, three hundred forty billion, one hundred million, two hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 131 150 202 262 300 303 393 404 505 524 606 655 786 1010 1212 1310 1515 1572 1965 2020 2525 2620 3030 3275 3930 5050 6060 6550 7575 7860 9825 10100 13100 13231 15150 19650 26462 30300 39300 39693 52924 66155 79386 132310 158772 198465 264620 330775 396930 661550 793860 992325 1323100 1984650 3969300 53999471 107998942 161998413 215997884 269997355 323996826 539994710 647993652 809992065 1079989420 1349986775 1619984130 2699973550 3239968260 4049960325 5399947100 5453946571 7073930701 8099920650 10907893142 14147861402 16199841300 16361839713 21221792103 21815786284 27269732855 28295722804 32723679426 35369653505 42443584206 54539465710 65447358852 70739307010 81809198565 84887168412 106108960515 109078931420 136348664275 141478614020 163618397130 176848267525 212217921030 272697328550 327236794260 353696535050 409045992825 424435842060 530544802575 545394657100 707393070100 714467000801 818091985650 1061089605150 1428934001602 1636183971300 2122179210300 2143401002403 2857868003204 3572335004005 4286802004806 7144670008010 8573604009612 10717005012015 14289340016020 17861675020025 21434010024030 35723350040050 42868020048060 53585025060075 71446700080100 107170050120150 214340100240300