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2102033302101 = 35298916092083
BaseRepresentation
bin11110100101101010111…
…100101100001001010101
321102221201022111122100000
4132211222330230021111
5233414431011131401
64245354420441513
7304603226156025
oct36455274541125
97387638448300
102102033302101
11740515aa9947
1229b47a849299
131232b43ab145
1473a4b997a85
1539a2a9a7186
hex1e96af2c255

2102033302101 has 96 divisors (see below), whose sum is σ = 3297529872000. Its totient is φ = 1336356983808.

The previous prime is 2102033302067. The next prime is 2102033302111. The reversal of 2102033302101 is 1012033302012.

2102033302101 is a `hidden beast` number, since 210 + 20 + 3 + 330 + 2 + 101 = 666.

It is not a de Polignac number, because 2102033302101 - 219 = 2102032777813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102033302111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1009136406 + ... + 1009138488.

It is an arithmetic number, because the mean of its divisors is an integer number (34349269500).

Almost surely, 22102033302101 is an apocalyptic number.

It is an amenable number.

2102033302101 is a deficient number, since it is larger than the sum of its proper divisors (1195496569899).

2102033302101 is a wasteful number, since it uses less digits than its factorization.

2102033302101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2102033302101 its reverse (1012033302012), we get a palindrome (3114066604113).

The spelling of 2102033302101 in words is "two trillion, one hundred two billion, thirty-three million, three hundred two thousand, one hundred one".

Divisors: 1 3 9 27 29 81 87 89 243 261 267 783 801 1609 2083 2349 2403 2581 4827 6249 7047 7209 7743 14481 18747 21627 23229 43443 46661 56241 60407 69687 130329 139983 143201 168723 181221 185387 209061 390987 419949 429603 506169 543663 556161 627183 1259847 1288809 1630989 1668483 3351547 3779541 3866427 4152829 4892967 5005449 5376223 10054641 11338623 11599281 12458487 14678901 15016347 16128669 30163923 34797843 37375461 45049041 48386007 90491769 97194863 112126383 145158021 271475307 291584589 298287683 336379149 435474063 814425921 874753767 894863049 1009137447 1306422189 2624261301 2684589147 7872783903 8053767441 8650342807 23618351709 24161302323 25951028421 72483906969 77853085263 233559255789 700677767367 2102033302101