Search a number
-
+
100100110101101 = 11171314086219133
BaseRepresentation
bin10110110000101001011111…
…100000010010101001101101
3111010102110212210010120211222
4112300221133200102221231
5101110020011141213401
6552521204501353125
730040665021023225
oct2660513740225155
9433373783116758
10100100110101101
1129993244602920
12b2880a44087a5
1343b15276c4a66
141aa0c2a733085
15b88c78506c1b
hex5b0a5f812a6d

100100110101101 has 16 divisors (see below), whose sum is σ = 116506279948608. Its totient is φ = 84993357945600.

The previous prime is 100100110101091. The next prime is 100100110101133. The reversal of 100100110101101 is 101101011001001.

Adding to 100100110101101 its reverse (101101011001001), we get a palindrome (201201121102102).

It is a cyclic number.

It is not a de Polignac number, because 100100110101101 - 214 = 100100110084717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100110101401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2043085070 + ... + 2043134063.

It is an arithmetic number, because the mean of its divisors is an integer number (7281642496788).

Almost surely, 2100100110101101 is an apocalyptic number.

100100110101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100110101101 is a deficient number, since it is larger than the sum of its proper divisors (16406169847507).

100100110101101 is a wasteful number, since it uses less digits than its factorization.

100100110101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086219292.

The product of its (nonzero) digits is 1, while the sum is 8.

The spelling of 100100110101101 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred one thousand, one hundred one".

Divisors: 1 11 17 131 187 1441 2227 24497 4086219133 44948410463 69465725261 535294706423 764122977871 5888241770653 9100010009191 100100110101101