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21212101202202 = 23267113228168239
BaseRepresentation
bin1001101001010110100111…
…10000011101000100011010
32210002212010210201101022100
410310223103300131010122
510240014340401432302
6113040412121304230
74316344433161551
oct464532360350432
983085123641270
1021212101202202
116839002148489
122467069935076
13bab3a59a8001
145349579c8d98
1526bb97132d1c
hex134ad3c1d11a

21212101202202 has 96 divisors (see below), whose sum is σ = 47079628727040. Its totient is φ = 6900401249280.

The previous prime is 21212101202189. The next prime is 21212101202213. The reversal of 21212101202202 is 20220210121212.

It is a happy number.

21212101202202 is a `hidden beast` number, since 212 + 1 + 210 + 1 + 20 + 220 + 2 = 666.

It is a super-3 number, since 3×212121012022023 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 310815999 + ... + 310884237.

It is an arithmetic number, because the mean of its divisors is an integer number (490412799240).

Almost surely, 221212101202202 is an apocalyptic number.

21212101202202 is an abundant number, since it is smaller than the sum of its proper divisors (25867527524838).

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

21212101202202 is a wasteful number, since it uses less digits than its factorization.

21212101202202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70708 (or 70705 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21212101202202 its reverse (20220210121212), we get a palindrome (41432311323414).

The spelling of 21212101202202 in words is "twenty-one trillion, two hundred twelve billion, one hundred one million, two hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 67 113 134 201 226 339 402 603 678 1017 1206 2034 2281 4562 6843 7571 13686 15142 20529 22713 41058 45426 68139 68239 136278 136478 152827 204717 257753 305654 409434 458481 515506 614151 773259 916962 1228302 1375443 1546518 2319777 2750886 4572013 4639554 7711007 9144026 13716039 15422014 17269451 23133021 27432078 34538902 41148117 46266042 51808353 69399063 82296234 103616706 138798126 155425059 155653159 310850118 311306318 466959477 516637469 933918954 1033274938 1400878431 1549912407 2801756862 3099824814 4649737221 9299474442 10428761653 17588806967 20857523306 31286284959 35177613934 52766420901 62572569918 93858854877 105532841802 158299262703 187717709754 316598525406 1178450066789 2356900133578 3535350200367 7070700400734 10606050601101 21212101202202