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10101012093 = 35257161743
BaseRepresentation
bin10010110100001000…
…10011011001111101
3222001221211120200000
421122010103121331
5131141324341333
64350151424513
7505212120564
oct113204233175
928057746600
1010101012093
114313837987
121b5a985139
13c4c8c6843
146bb738bdb
153e1bb2713
hex25a11367d

10101012093 has 24 divisors (see below), whose sum is σ = 15189702528. Its totient is φ = 6707764224.

The previous prime is 10101012083. The next prime is 10101012107. The reversal of 10101012093 is 39021010101.

10101012093 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 10101012093 - 213 = 10101003901 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101012073) 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 23 ways as a sum of consecutive naturals, for example, 18421 + ... + 143322.

It is an arithmetic number, because the mean of its divisors is an integer number (632904272).

Almost surely, 210101012093 is an apocalyptic number.

It is an amenable number.

10101012093 is a deficient number, since it is larger than the sum of its proper divisors (5088690435).

10101012093 is an equidigital number, since it uses as much as digits as its factorization.

10101012093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162015 (or 162003 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10101012093 its reverse (39021010101), we get a palindrome (49122022194).

The spelling of 10101012093 in words is "ten billion, one hundred one million, twelve thousand, ninety-three".

Divisors: 1 3 9 27 81 243 257 771 2313 6939 20817 62451 161743 485229 1455687 4367061 13101183 39303549 41567951 124703853 374111559 1122334677 3367004031 10101012093