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211000221222102 = 23413690611450747
BaseRepresentation
bin101111111110011101010001…
…001110111100010011010110
31000200002102110012112222120000
4233332131101032330103112
5210124011423113101402
62024432055150352130
762305156116044424
oct5776352116742326
91020072405488500
10211000221222102
116125a76712a744
121b7b930b1bb646
13909730a48a990
143a16672704114
15195d8eed95c1c
hexbfe7513bc4d6

211000221222102 has 80 divisors (see below), whose sum is σ = 509173499666832. Its totient is φ = 64922160156480.

The previous prime is 211000221222101. The next prime is 211000221222121. The reversal of 211000221222102 is 201222122000112.

It is a happy number.

211000221222102 is a `hidden beast` number, since 21 + 100 + 0 + 221 + 222 + 102 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000221222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144717093 + ... + 146167839.

Almost surely, 2211000221222102 is an apocalyptic number.

211000221222102 is an abundant number, since it is smaller than the sum of its proper divisors (298173278444730).

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

211000221222102 is a wasteful number, since it uses less digits than its factorization.

211000221222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519835 (or 1519826 counting only the distinct ones).

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

Adding to 211000221222102 its reverse (201222122000112), we get a palindrome (412222343222214).

The spelling of 211000221222102 in words is "two hundred eleven trillion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 69061 138122 207183 414366 621549 897793 1243098 1450747 1795586 1864647 2693379 2901494 3729294 4352241 5386758 5593941 8080137 8704482 11187882 13056723 16160274 18859711 24240411 26113446 37719422 39170169 48480822 56579133 72721233 78340338 113158266 117510507 145442466 169737399 235021014 339474798 509212197 1018424394 1527636591 3055273182 100190038567 200380077134 300570115701 601140231402 901710347103 1302470501371 1803420694206 2604941002742 2705131041309 3907411504113 5410262082618 7814823008226 8115393123927 11722234512339 16230786247854 23444469024678 35166703537017 70333407074034 105500110611051 211000221222102