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200011120002100 = 225211972333980317
BaseRepresentation
bin101101011110100010110111…
…110000100100010000110100
3222020011212122211212200202001
4231132202313300210100310
5202203440233210031400
61545215501241425044
760062220002630641
oct5536426760442064
9866155584780661
10200011120002100
115880326aa64530
121a5235b349b184
13877ac77011394
143756838810dc8
15181cb35434a6a
hexb5e8b7c24434

200011120002100 has 144 divisors (see below), whose sum is σ = 478388568047040. Its totient is φ = 71977528627200.

The previous prime is 200011120002073. The next prime is 200011120002119. The reversal of 200011120002100 is 1200021110002.

It is a super-3 number, since 3×2000111200021003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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, 2490231142 + ... + 2490311458.

It is an arithmetic number, because the mean of its divisors is an integer number (3322142833660).

Almost surely, 2200011120002100 is an apocalyptic number.

200011120002100 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 200011120002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239194284023520).

200011120002100 is an abundant number, since it is smaller than the sum of its proper divisors (278377448044940).

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

200011120002100 is a wasteful number, since it uses less digits than its factorization.

200011120002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103778 (or 103771 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200011120002100 its reverse (1200021110002), we get a palindrome (201211141112102).

The spelling of 200011120002100 in words is "two hundred trillion, eleven billion, one hundred twenty million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 97 100 110 194 220 275 388 485 550 970 1067 1100 1940 2134 2425 4268 4850 5335 9700 10670 21340 23339 26675 46678 53350 80317 93356 106700 116695 160634 233390 256729 321268 401585 466780 513458 583475 803170 883487 1026916 1166950 1283645 1606340 1766974 2007925 2263883 2333900 2567290 3533948 4015850 4417435 4527766 5134580 6418225 7790749 8031700 8834870 9055532 11319415 12836450 15581498 17669740 22087175 22638830 24902713 25672900 31162996 38953745 44174350 45277660 49805426 56597075 77907490 85698239 88348700 99610852 113194150 124513565 155814980 171396478 194768725 226388300 249027130 342792956 389537450 428491195 498054260 622567825 779074900 856982390 1245135650 1713964780 1874518463 2142455975 2490271300 3749036926 4284911950 7498073852 8569823900 9372592315 18745184630 20619703093 37490369260 41239406186 46862961575 82478812372 93725923150 103098515465 181828290911 187451846300 206197030930 363656581822 412394061860 515492577325 727313163644 909141454555 1030985154650 1818282909110 2000111200021 2061970309300 3636565818220 4000222400042 4545707272775 8000444800084 9091414545550 10000556000105 18182829091100 20001112000210 40002224000420 50002780000525 100005560001050 200011120002100