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214222013201100 = 223521220815849177
BaseRepresentation
bin110000101101010101110010…
…111111111111101011001100
31001002111102110102120011210210
4300231111302333333223030
5211034303140334413400
62035340122334002420
763060013122032142
oct6055256277775314
91032442412504723
10214222013201100
1162292055771a13
12200397b2946410
13926c084026878
143ac858798d592
1519b7615c9b950
hexc2d572fffacc

214222013201100 has 72 divisors (see below), whose sum is σ = 619820874581328. Its totient is φ = 57125392486400.

The previous prime is 214222013201089. The next prime is 214222013201117. The reversal of 214222013201100 is 1102310222412.

It is a happy 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, 33699712 + ... + 39548888.

It is an arithmetic number, because the mean of its divisors is an integer number (8608623258074).

Almost surely, 2214222013201100 is an apocalyptic number.

214222013201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214222013201100 is an abundant number, since it is smaller than the sum of its proper divisors (405598861380228).

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

214222013201100 is a wasteful number, since it uses less digits than its factorization.

214222013201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971275 (or 5971268 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 214222013201100 its reverse (1102310222412), we get a palindrome (215324323423512).

The spelling of 214222013201100 in words is "two hundred fourteen trillion, two hundred twenty-two billion, thirteen million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 122081 244162 366243 488324 610405 732486 1220810 1464972 1831215 2441620 3052025 3662430 5849177 6104050 7324860 9156075 11698354 12208100 17547531 18312150 23396708 29245885 35095062 36624300 58491770 70190124 87737655 116983540 146229425 175475310 292458850 350950620 438688275 584917700 877376550 1754753100 714073377337 1428146754674 2142220132011 2856293509348 3570366886685 4284440264022 7140733773370 8568880528044 10711100660055 14281467546740 17851834433425 21422201320110 35703668866850 42844402640220 53555503300275 71407337733700 107111006600550 214222013201100