Search a number
-
+
1104041104001 = 111787716973967
BaseRepresentation
bin10000000100001101111…
…110100101001010000001
310220112201112010010021022
4100010031332211022001
5121042034010312001
62203104532235225
7142523111354603
oct20041576451201
93815645103238
101104041104001
1139624846a270
12159b7916bb15
138015908bb84
143b61607b173
151daba64511b
hex1010dfa5281

1104041104001 has 32 divisors (see below), whose sum is σ = 1277784502272. Its totient is φ = 942763253760.

The previous prime is 1104041103989. The next prime is 1104041104057. The reversal of 1104041104001 is 1004011404011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1104041104001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1104041104801) 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, 278304320 + ... + 278308286.

It is an arithmetic number, because the mean of its divisors is an integer number (39930765696).

Almost surely, 21104041104001 is an apocalyptic number.

1104041104001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1104041104001 is a deficient number, since it is larger than the sum of its proper divisors (173743398271).

1104041104001 is a wasteful number, since it uses less digits than its factorization.

1104041104001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1104041104001 its reverse (1004011404011), we get a palindrome (2108052508012).

The spelling of 1104041104001 in words is "one trillion, one hundred four billion, forty-one million, one hundred four thousand, one".

Divisors: 1 11 17 187 877 1697 3967 9647 14909 18667 28849 43637 67439 163999 317339 741829 1488269 3479059 6731999 16370959 25300573 38269649 59144003 74051989 114443983 278306303 650584033 1258883813 5903963123 64943594353 100367373091 1104041104001