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10011110100093 = 36181271279967
BaseRepresentation
bin1001000110101110010010…
…1010010100110001111101
31022110001102110211211000000
42101223210222110301331
52303010223141200333
633143012425024513
72052164432546544
oct221534452246175
938401373754000
1010011110100093
11320a762731723
121158278625139
13578074b2194b
1426877c89d15b
1512562a4ce713
hex91ae4a94c7d

10011110100093 has 56 divisors (see below), whose sum is σ = 15148472708096. Its totient is φ = 6612684933600.

The previous prime is 10011110100091. The next prime is 10011110100107. The reversal of 10011110100093 is 39000101111001.

10011110100093 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 10011110100093 - 21 = 10011110100091 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011110100091) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 35618196 + ... + 35898162.

It is an arithmetic number, because the mean of its divisors is an integer number (270508441216).

Almost surely, 210011110100093 is an apocalyptic number.

It is an amenable number.

10011110100093 is a deficient number, since it is larger than the sum of its proper divisors (5137362608003).

10011110100093 is an equidigital number, since it uses as much as digits as its factorization.

10011110100093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280437 (or 280422 counting only the distinct ones).

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

Adding to 10011110100093 its reverse (39000101111001), we get a palindrome (49011211211094).

The spelling of 10011110100093 in words is "ten trillion, eleven billion, one hundred ten million, one hundred thousand, ninety-three".

Divisors: 1 3 9 27 81 181 243 271 543 729 813 1629 2439 4887 7317 14661 21951 43983 49051 65853 131949 147153 197559 279967 441459 839901 1324377 2519703 3973131 7559109 11919393 22677327 35758179 50674027 68031981 75871057 152022081 204095943 227613171 456066243 682839513 1368198729 2048518539 4104596187 6145555617 12313788561 13732661317 18436666851 36941365683 41197983951 55310000553 123593951853 370781855559 1112345566677 3337036700031 10011110100093