Search a number
-
+
1000100010111 = 33759152710339
BaseRepresentation
bin11101000110110101001…
…10110001100001111111
310112121102200121110120020
432203122212301201333
5112341201100310421
62043234542023223
7132153260552466
oct16433246614177
93477380543506
101000100010111
1135615a423a84
121419ab577b13
1373402c13b17
143659583b9dd
151b03541ddc6
hexe8da9b187f

1000100010111 has 16 divisors (see below), whose sum is σ = 1392718300800. Its totient is φ = 637718371488.

The previous prime is 1000100010101. The next prime is 1000100010139. The reversal of 1000100010111 is 1110100010001.

It is not a de Polignac number, because 1000100010111 - 25 = 1000100010079 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000100010111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100010101) 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, 76348621 + ... + 76361718.

It is an arithmetic number, because the mean of its divisors is an integer number (87044893800).

Almost surely, 21000100010111 is an apocalyptic number.

1000100010111 is a deficient number, since it is larger than the sum of its proper divisors (392618290689).

1000100010111 is a wasteful number, since it uses less digits than its factorization.

1000100010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152710438.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1000100010111 its reverse (1110100010001), we get a palindrome (2110200020112).

The spelling of 1000100010111 in words is "one trillion, one hundred million, ten thousand, one hundred eleven".

Divisors: 1 3 37 59 111 177 2183 6549 152710339 458131017 5650282543 9009910001 16950847629 27029730003 333366670037 1000100010111