Search a number
-
+
101111001110001 = 341913396523939
BaseRepresentation
bin10110111111010110111101…
…010011011101010111110001
3111021000010011111220120220000
4112333112331103131113301
5101223100312241010001
6555013430324140213
730204012602564631
oct2677267523352761
9437003144816800
10101111001110001
112a242a31193a13
12b40bba5837669
13445595a146b5c
141ad7b273986c1
15ba51e0e7da86
hex5bf5bd4dd5f1

101111001110001 has 20 divisors (see below), whose sum is σ = 151043172231600. Its totient is φ = 67406971448376.

The previous prime is 101111001109967. The next prime is 101111001110003. The reversal of 101111001110001 is 100011100111101.

It is not a de Polignac number, because 101111001110001 - 27 = 101111001109873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101111001110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12236490 + ... + 18760428.

It is an arithmetic number, because the mean of its divisors is an integer number (7552158611580).

Almost surely, 2101111001110001 is an apocalyptic number.

It is an amenable number.

101111001110001 is a deficient number, since it is larger than the sum of its proper divisors (49932171121599).

101111001110001 is an equidigital number, since it uses as much as digits as its factorization.

101111001110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715290 (or 6715281 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111001110001 its reverse (100011100111101), we get a palindrome (201122101221102).

The spelling of 101111001110001 in words is "one hundred one trillion, one hundred eleven billion, one million, one hundred ten thousand, one".

Divisors: 1 3 9 27 81 191339 574017 1722051 5166153 6523939 15498459 19571817 58715451 176146353 528439059 1248283964321 3744851892963 11234555678889 33703667036667 101111001110001