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210201111110112 = 25331238329639989
BaseRepresentation
bin101111110010110101000010…
…100011110010000111100000
31000120021000210211220020102120
4233302311002203302013200
5210022413333421010422
62023021020215344240
762163346326134163
oct5762650243620740
91016230724806376
10210201111110112
1160a81877320a91
121b6aa472982080
139039b589a7175
1439c9b06625ada
151947c2ec8445c
hexbf2d428f21e0

210201111110112 has 96 divisors (see below), whose sum is σ = 569816240394240. Its totient is φ = 67778353359360.

The previous prime is 210201111110059. The next prime is 210201111110117. The reversal of 210201111110112 is 211011111102012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2102011111101122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210201111110091 and 210201111110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210201111110117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7728187 + ... + 21911802.

It is an arithmetic number, because the mean of its divisors is an integer number (5935585837440).

Almost surely, 2210201111110112 is an apocalyptic number.

It is an amenable number.

210201111110112 is an abundant number, since it is smaller than the sum of its proper divisors (359615129284128).

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

210201111110112 is a wasteful number, since it uses less digits than its factorization.

210201111110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29642416 (or 29642408 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 210201111110112 its reverse (211011111102012), we get a palindrome (421212222212124).

The spelling of 210201111110112 in words is "two hundred ten trillion, two hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2383 2976 4766 7149 9532 14298 19064 28596 38128 57192 73873 76256 114384 147746 221619 228768 295492 443238 590984 886476 1181968 1772952 2363936 3545904 7091808 29639989 59279978 88919967 118559956 177839934 237119912 355679868 474239824 711359736 918839659 948479648 1422719472 1837679318 2756518977 2845438944 3675358636 5513037954 7350717272 11026075908 14701434544 22052151816 29402869088 44104303632 70632093787 88208607264 141264187574 211896281361 282528375148 423792562722 565056750296 847585125444 1130113500592 1695170250888 2189594907397 2260227001184 3390340501776 4379189814794 6568784722191 6780681003552 8758379629588 13137569444382 17516759259176 26275138888764 35033518518352 52550277777528 70067037036704 105100555555056 210201111110112