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114505325214200 = 23523189207512369
BaseRepresentation
bin11010000010010001011001…
…001110111111100111111000
3120000102121020222210002212022
4122002101121032333213320
5110002023401223323300
61043311004210534012
733055510463133224
oct3202213116774770
9500377228702768
10114505325214200
1133537487a32528
1210a13a95897308
134bb7a62561b7b
14203c13181d784
15d3882da97285
hex6824593bf9f8

114505325214200 has 96 divisors (see below), whose sum is σ = 277900565904000. Its totient is φ = 43826612121600.

The previous prime is 114505325214179. The next prime is 114505325214239. The reversal of 114505325214200 is 2412523505411.

It is a super-2 number, since 2×1145053252142002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103204385 + ... + 104307984.

It is an arithmetic number, because the mean of its divisors is an integer number (2894797561500).

Almost surely, 2114505325214200 is an apocalyptic number.

114505325214200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114505325214200 is an abundant number, since it is smaller than the sum of its proper divisors (163395240689800).

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

114505325214200 is a wasteful number, since it uses less digits than its factorization.

114505325214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207512505 (or 207512496 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 114505325214200 its reverse (2412523505411), we get a palindrome (116917848719611).

The spelling of 114505325214200 in words is "one hundred fourteen trillion, five hundred five billion, three hundred twenty-five million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 89 100 124 155 178 200 248 310 356 445 620 712 775 890 1240 1550 1780 2225 2759 3100 3560 4450 5518 6200 8900 11036 13795 17800 22072 27590 55180 68975 110360 137950 275900 551800 207512369 415024738 830049476 1037561845 1660098952 2075123690 4150247380 5187809225 6432883439 8300494760 10375618450 12865766878 18468600841 20751236900 25731533756 32164417195 36937201682 41502473800 51463067512 64328834390 73874403364 92343004205 128657668780 147748806728 160822085975 184686008410 257315337560 321644171950 369372016820 461715021025 572526626071 643288343900 738744033640 923430042050 1145053252142 1286576687800 1846860084100 2290106504284 2862633130355 3693720168200 4580213008568 5725266260710 11450532521420 14313165651775 22901065042840 28626331303550 57252662607100 114505325214200