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212024141420212 = 221121785333239091
BaseRepresentation
bin110000001101010110110111…
…101000100001011010110100
31000210201022100222001101010101
4300031112313220201122310
5210242300420200421322
62030534313530003444
762442144610114402
oct6015266750413264
91023638328041111
10212024141420212
1161614a2a412500
121b943847b76584
13913ca383616a4
143a50047932472
15197a37b5d8327
hexc0d5b7a216b4

212024141420212 has 144 divisors (see below), whose sum is σ = 432514327928256. Its totient is φ = 90561950899200.

The previous prime is 212024141420209. The next prime is 212024141420219.

212024141420212 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212024141420219) by changing a digit.

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, 23322417787 + ... + 23322426877.

It is an arithmetic number, because the mean of its divisors is an integer number (3003571721724).

Almost surely, 2212024141420212 is an apocalyptic number.

212024141420212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212024141420212 is an abundant number, since it is smaller than the sum of its proper divisors (220490186508044).

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

212024141420212 is a wasteful number, since it uses less digits than its factorization.

212024141420212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13310 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 21202 and 4141420212, that added together give a palindrome (4141441414).

The spelling of 212024141420212 in words is "two hundred twelve trillion, twenty-four billion, one hundred forty-one million, four hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 853 1706 2057 3323 3412 4114 6646 8228 9091 9383 13292 14501 18182 18766 29002 36364 36553 37532 56491 58004 73106 100001 103213 112982 146212 154547 159511 200002 206426 225964 309094 319022 400004 402083 412852 618188 621401 638044 804166 1100011 1242802 1608332 1700017 1754621 2200022 2485604 2834519 3400034 3509242 4400044 5669038 6800068 6835411 7018484 7754623 11338076 13670822 15509246 18700187 27341644 30209393 31018492 31179709 37400374 48186823 60418786 62359418 74800748 85300853 96373646 120837572 124718836 131828591 170601706 192747292 263657182 332303323 341203412 342976799 513559681 527314364 530055053 664606646 685953598 938309383 1027119362 1060110106 1329213292 1371907196 1450114501 1876618766 2054238724 2120220212 2900229002 3655336553 3753237532 5649156491 5800458004 5830605583 7310673106 11298312982 11661211166 14621346212 15951259511 22596625964 23322422332 25768612229 31902519022 51537224458 62140721401 63805038044 103074448916 124281442802 248562885604 283454734519 438066407893 566909469038 876132815786 1133818938076 1752265631572 3118002079709 4818730486823 6236004159418 9637460973646 12472008318836 19274921947292 53006035355053 106012070710106 212024141420212