Search a number
-
+
100106110053 = 32174349930493
BaseRepresentation
bin101110100111011001…
…0100000010001100101
3100120101120022021212200
41131032302200101211
53120004131010203
6113553233205113
710142502616155
oct1351662402145
9316346267780
10100106110053
1139500320164
1217499400799
1395947b2361
144bb91a2765
15290d6e99a3
hex174eca0465

100106110053 has 48 divisors (see below), whose sum is σ = 156983112000. Its totient is φ = 61225984512.

The previous prime is 100106110051. The next prime is 100106110057. The reversal of 100106110053 is 350011601001.

Adding to 100106110053 its reverse (350011601001), we get a palindrome (450117711054).

100106110053 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 611 + 0 + 0 + 53 = 666.

It is not a de Polignac number, because 100106110053 - 21 = 100106110051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106110051) 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, 3267675 + ... + 3298167.

It is an arithmetic number, because the mean of its divisors is an integer number (3270481500).

Almost surely, 2100106110053 is an apocalyptic number.

It is an amenable number.

100106110053 is a deficient number, since it is larger than the sum of its proper divisors (56877001947).

100106110053 is a wasteful number, since it uses less digits than its factorization.

100106110053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31058 (or 31055 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The spelling of 100106110053 in words is "one hundred billion, one hundred six million, one hundred ten thousand, fifty-three".

Divisors: 1 3 9 17 43 51 129 153 387 499 731 1497 2193 4491 6579 8483 21457 25449 30493 64371 76347 91479 193113 274437 364769 518381 1094307 1311199 1555143 3282921 3933597 4665429 11800791 15216007 22290383 45648021 66871149 136944063 200613447 258672119 654288301 776016357 1962864903 2328049071 5888594709 11122901117 33368703351 100106110053