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10010011011093 = 35319137145433
BaseRepresentation
bin1001000110101010001100…
…1001101000100000010101
31022102221120212201022100000
42101222203021220200111
52303001000304323333
633142311403441513
72052125255466462
oct221524311504025
938387525638300
1010010011011093
11320a249289905
121158010526299
13577c2b1cc822
142686b691a669
151255b3c78713
hex91aa3268815

10010011011093 has 48 divisors (see below), whose sum is σ = 15479911190016. Its totient is φ = 6457320414720.

The previous prime is 10010011010957. The next prime is 10010011011229. The reversal of 10010011011093 is 39011011001001.

It is an interprime number because it is at equal distance from previous prime (10010011010957) and next prime (10010011011229).

It is not a de Polignac number, because 10010011011093 - 226 = 10009943902229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010011018093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68756305 + ... + 68901737.

It is an arithmetic number, because the mean of its divisors is an integer number (322498149792).

Almost surely, 210010011011093 is an apocalyptic number.

It is an amenable number.

10010011011093 is a deficient number, since it is larger than the sum of its proper divisors (5469900178923).

10010011011093 is an equidigital number, since it uses as much as digits as its factorization.

10010011011093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154616 (or 154604 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 10010011011093 its reverse (39011011001001), we get a palindrome (49021022012094).

The spelling of 10010011011093 in words is "ten trillion, ten billion, eleven million, eleven thousand, ninety-three".

Divisors: 1 3 9 27 31 81 93 243 279 837 2511 7533 9137 27411 82233 145433 246699 283247 436299 740097 849741 1308897 2220291 2549223 3926691 4508423 7647669 11780073 13525269 22943007 35340219 40575807 68829021 121727421 365182263 1095546789 1328821321 3986463963 11959391889 35878175667 41193460951 107634527001 123580382853 322903581003 370741148559 1112223445677 3336670337031 10010011011093