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22102011210200 = 2352793301423769
BaseRepresentation
bin1010000011010000001101…
…00001101110100111011000
32220020221011011101202121012
411001220012201232213120
510344104404332211300
6115001305045233052
74440550304350025
oct501500641564730
986227134352535
1022102011210200
117051457147a09
12258b626a02788
13c44297c2853c
14565a58d0454c
15284dcd927435
hex141a0686e9d8

22102011210200 has 96 divisors (see below), whose sum is σ = 52053533688000. Its totient is φ = 8726230656000.

The previous prime is 22102011210199. The next prime is 22102011210259. The reversal of 22102011210200 is 201211020122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51943916 + ... + 52367684.

It is an arithmetic number, because the mean of its divisors is an integer number (542224309250).

Almost surely, 222102011210200 is an apocalyptic number.

22102011210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102011210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26026766844000).

22102011210200 is an abundant number, since it is smaller than the sum of its proper divisors (29951522477800).

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

22102011210200 is a wasteful number, since it uses less digits than its factorization.

22102011210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427165 (or 427156 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22102011210200 its reverse (201211020122), we get a palindrome (22303222230322).

The spelling of 22102011210200 in words is "twenty-two trillion, one hundred two billion, eleven million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 1580 1975 3160 3301 3950 6602 7900 13204 15800 16505 26408 33010 66020 82525 132040 165050 260779 330100 423769 521558 660200 847538 1043116 1303895 1695076 2086232 2118845 2607790 3390152 4237690 5215580 6519475 8475380 10431160 10594225 13038950 16950760 21188450 26077900 33477751 42376900 52155800 66955502 84753800 133911004 167388755 267822008 334777510 669555020 836943775 1339110040 1398861469 1673887550 2797722938 3347775100 5595445876 6695550200 6994307345 11190891752 13988614690 27977229380 34971536725 55954458760 69943073450 110510056051 139886146900 221020112102 279772293800 442040224204 552550280255 884080448408 1105100560510 2210201121020 2762751401275 4420402242040 5525502802550 11051005605100 22102011210200