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200202110210112 = 26329154923212291
BaseRepresentation
bin101101100001010100101111…
…101010011001000001000000
3222020212010122021122112010220
4231201110233222121001000
5202220102410203210422
61545443325120423040
760112060631621553
oct5541245752310100
9866763567575126
10200202110210112
1158877268a5664a
121a554615777a80
138792c9383229a
143761b9608c69a
151822ab28e5e5c
hexb6152fa99040

200202110210112 has 112 divisors (see below), whose sum is σ = 548320761624000. Its totient is φ = 64391263856640.

The previous prime is 200202110210071. The next prime is 200202110210161. The reversal of 200202110210112 is 211012011202002.

It is a junction number, because it is equal to n+sod(n) for n = 200202110210091 and 200202110210100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2981314 + ... + 20230977.

Almost surely, 2200202110210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200202110210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274160380812000).

200202110210112 is an abundant number, since it is smaller than the sum of its proper divisors (348118651413888).

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

200202110210112 is a wasteful number, since it uses less digits than its factorization.

200202110210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23213884 (or 23213874 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200202110210112 its reverse (211012011202002), we get a palindrome (411214121412114).

The spelling of 200202110210112 in words is "two hundred trillion, two hundred two billion, one hundred ten million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1549 1856 2784 3098 4647 5568 6196 9294 12392 18588 24784 37176 44921 49568 74352 89842 99136 134763 148704 179684 269526 297408 359368 539052 718736 1078104 1437472 2156208 2874944 4312416 8624832 23212291 46424582 69636873 92849164 139273746 185698328 278547492 371396656 557094984 673156439 742793312 1114189968 1346312878 1485586624 2019469317 2228379936 2692625756 4038938634 4456759872 5385251512 8077877268 10770503024 16155754536 21541006048 32311509072 35955838759 43082012096 64623018144 71911677518 107867516277 129246036288 143823355036 215735032554 287646710072 431470065108 575293420144 862940130216 1042719324011 1150586840288 1725880260432 2085438648022 2301173680576 3128157972033 3451760520864 4170877296044 6256315944066 6903521041728 8341754592088 12512631888132 16683509184176 25025263776264 33367018368352 50050527552528 66734036736704 100101055105056 200202110210112