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121131001130300 = 225273471390335869
BaseRepresentation
bin11011100010101100000010…
…010010110010110100111100
3120212220000021201221101122022
4123202230002102302310330
5111334102242242132200
61105342451432135312
734341266062156610
oct3342540222626474
9525800251841568
10121131001130300
1135661407294247
1211703bbb237538
1352787b1b11815
1421caab3905340
15e00d66a86885
hex6e2b024b2d3c

121131001130300 has 144 divisors (see below), whose sum is σ = 301300672189440. Its totient is φ = 41406811165440.

The previous prime is 121131001130299. The next prime is 121131001130393. The reversal of 121131001130300 is 3031100131121.

It is a super-3 number, since 3×1211310011303003 (a number of 43 digits) contains 333 as substring.

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, 3377020766 + ... + 3377056634.

Almost surely, 2121131001130300 is an apocalyptic number.

121131001130300 is a gapful number since it is divisible by the number (10) 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 121131001130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150650336094720).

121131001130300 is an abundant number, since it is smaller than the sum of its proper divisors (180169671059140).

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

121131001130300 is a wasteful number, since it uses less digits than its factorization.

121131001130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50140 (or 50133 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 121131001130300 its reverse (3031100131121), we get a palindrome (124162101261421).

The spelling of 121131001130300 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, one million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 347 350 694 700 1388 1735 2429 3470 4858 6940 8675 9716 12145 13903 17350 24290 27806 34700 35869 48580 55612 60725 69515 71738 97321 121450 139030 143476 179345 194642 242900 251083 278060 347575 358690 389284 486605 502166 695150 717380 896725 973210 1004332 1255415 1390300 1793450 1946420 2433025 2510830 3586900 4824341 4866050 5021660 6277075 9648682 9732100 12446543 12554150 19297364 24121705 24893086 25108300 33770387 48243410 49786172 62232715 67540774 87125801 96486820 120608525 124465430 135081548 168851935 174251602 241217050 248930860 311163575 337703870 348503204 435629005 482434100 498686707 622327150 675407740 844259675 871258010 997373414 1244654300 1688519350 1742516020 1994746828 2178145025 2493433535 3377038700 3490806949 4356290050 4986867070 6981613898 8712580100 9973734140 12467167675 13963227796 17454034745 24934335350 34908069490 49868670700 69816138980 87270173725 173044287329 174540347450 346088574658 349080694900 692177149316 865221436645 1211310011303 1730442873290 2422620022606 3460885746580 4326107183225 4845240045212 6056550056515 8652214366450 12113100113030 17304428732900 24226200226060 30282750282575 60565500565150 121131001130300