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214303121330100 = 2235211379171346543
BaseRepresentation
bin110000101110100001010101…
…011010111100111110110100
31001002210011210222211001000120
4300232201111122330332310
5211042120243030030400
62035441254514411540
763065614060534425
oct6056412532747664
91032704728731016
10214303121330100
1162313497135790
1220051469890bb0
13927690b8c73ca
143acc47d98164c
1519b97b16a9ca0
hexc2e8556bcfb4

214303121330100 has 144 divisors (see below), whose sum is σ = 678203328875520. Its totient is φ = 51815194300800.

The previous prime is 214303121330099. The next prime is 214303121330141. The reversal of 214303121330100 is 1033121303412.

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, 84422572 + ... + 86923971.

Almost surely, 2214303121330100 is an apocalyptic number.

214303121330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214303121330100 is an abundant number, since it is smaller than the sum of its proper divisors (463900207545420).

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

214303121330100 is a wasteful number, since it uses less digits than its factorization.

214303121330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171346950 (or 171346943 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 214303121330100 its reverse (1033121303412), we get a palindrome (215336242633512).

The spelling of 214303121330100 in words is "two hundred fourteen trillion, three hundred three billion, one hundred twenty-one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 379 550 660 758 825 1100 1137 1516 1650 1895 2274 3300 3790 4169 4548 5685 7580 8338 9475 11370 12507 16676 18950 20845 22740 25014 28425 37900 41690 50028 56850 62535 83380 104225 113700 125070 208450 250140 312675 416900 625350 1250700 171346543 342693086 514039629 685386172 856732715 1028079258 1713465430 1884811973 2056158516 2570198145 3426930860 3769623946 4283663575 5140396290 5654435919 7539247892 8567327150 9424059865 10280792580 11308871838 12850990725 17134654300 18848119730 22617743676 25701981450 28272179595 37696239460 47120299325 51403962900 56544359190 64940339797 94240598650 113088718380 129880679594 141360897975 188481197300 194821019391 259761359188 282721795950 324701698985 389642038782 565443591900 649403397970 714343737767 779284077564 974105096955 1298806795940 1428687475534 1623508494925 1948210193910 2143031213301 2857374951068 3247016989850 3571718688835 3896420387820 4286062426602 4870525484775 6494033979700 7143437377670 8572124853204 9741050969550 10715156066505 14286874755340 17858593444175 19482101939100 21430312133010 35717186888350 42860624266020 53575780332525 71434373776700 107151560665050 214303121330100