Search a number
-
+
100011010110093 = 3315755742357391
BaseRepresentation
bin10110101111010110100000…
…101110110011001010001101
3111010002221220020210001222000
4112233112200232303022031
5101102040022042010333
6552412231311342513
730031362030423465
oct2657264056631215
9433087806701860
10100011010110093
1129959481a1a915
12b272978b21a39
1343a5cc81a02a4
141a9a7b7194ba5
15b867b11a9713
hex5af5a0bb328d

100011010110093 has 32 divisors (see below), whose sum is σ = 149375884331520. Its totient is φ = 66130390422720.

The previous prime is 100011010110049. The next prime is 100011010110097. The reversal of 100011010110093 is 390011010110001.

It is not a de Polignac number, because 100011010110093 - 29 = 100011010109581 is a prime.

It is a super-2 number, since 2×1000110101100932 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011010110097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18817573 + ... + 23539818.

It is an arithmetic number, because the mean of its divisors is an integer number (4667996385360).

Almost surely, 2100011010110093 is an apocalyptic number.

It is an amenable number.

100011010110093 is a deficient number, since it is larger than the sum of its proper divisors (49364874221427).

100011010110093 is a wasteful number, since it uses less digits than its factorization.

100011010110093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42358114 (or 42358108 counting only the distinct ones).

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

Adding to 100011010110093 its reverse (390011010110001), we get a palindrome (490022020220094).

The spelling of 100011010110093 in words is "one hundred trillion, eleven billion, ten million, one hundred ten thousand, ninety-three".

Divisors: 1 3 9 27 157 471 557 1413 1671 4239 5013 15039 87449 262347 787041 2361123 42357391 127072173 381216519 1143649557 6650110387 19950331161 23593066787 59850993483 70779200361 179552980449 212337601083 637012803249 3704111485559 11112334456677 33337003370031 100011010110093