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10010011200111 = 3213714439372903
BaseRepresentation
bin1001000110101010001100…
…1010010110101001101111
31022102221120220001220121200
42101222203022112221233
52303001000331400421
633142311411500543
72052125260214526
oct221524312265157
938387526056550
1010010011200111
11320a2493a891a
1211580105b7753
13577c2b267880
142686b69694bd
151255b3cb4726
hex91aa3296a6f

10010011200111 has 96 divisors (see below), whose sum is σ = 15848432151552. Its totient is φ = 6050984808960.

The previous prime is 10010011200031. The next prime is 10010011200181. The reversal of 10010011200111 is 11100211001001.

10010011200111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010011200111 - 213 = 10010011191919 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010011200093 and 10010011200102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010011200181) 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, 3448159486 + ... + 3448162388.

It is an arithmetic number, because the mean of its divisors is an integer number (165087834912).

Almost surely, 210010011200111 is an apocalyptic number.

10010011200111 is a deficient number, since it is larger than the sum of its proper divisors (5838420951441).

10010011200111 is a wasteful number, since it uses less digits than its factorization.

10010011200111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010011200111 its reverse (11100211001001), we get a palindrome (21110222201112).

The spelling of 10010011200111 in words is "ten trillion, ten billion, eleven million, two hundred thousand, one hundred eleven".

Divisors: 1 3 9 13 39 71 117 213 443 639 923 937 1329 2769 2811 2903 3987 5759 8307 8433 8709 12181 17277 26127 31453 36543 37739 51831 66527 94359 109629 113217 199581 206113 283077 339651 408889 415091 598743 618339 864851 1226667 1245273 1286029 1855017 2594553 2679469 2720111 3680001 3735819 3858087 5396183 7783659 8038407 8160333 11574261 16188549 16718377 24115221 24480999 29471461 35361443 48565647 50155131 88414383 91308059 106084329 150465393 193127881 265243149 273924177 318252987 383128993 579383643 821772531 1149386979 1187004767 1205009173 1738150929 2510662453 3448160937 3561014301 3615027519 7531987359 10683042903 10845082557 15665119249 22595962077 46995357747 85555651283 140986073241 256666953849 770000861547 1112223466679 3336670400037 10010011200111