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1010001101111 = 31193617273601
BaseRepresentation
bin11101011001010001100…
…00011100000100110111
310120112222201021000001022
432230220300130010313
5113021440240213421
62051553232451355
7132653524465142
oct16545060340467
93515881230038
101010001101111
1135a380322212
121438b33a9b5b
1374320280252
1436c547b5059
151b4147907ab
hexeb28c1c137

1010001101111 has 16 divisors (see below), whose sum is σ = 1049686111488. Its totient is φ = 970776576000.

The previous prime is 1010001101009. The next prime is 1010001101141. The reversal of 1010001101111 is 1111011000101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010001101111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001101141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3554711 + ... + 3828311.

It is an arithmetic number, because the mean of its divisors is an integer number (65605381968).

Almost surely, 21010001101111 is an apocalyptic number.

1010001101111 is a deficient number, since it is larger than the sum of its proper divisors (39685010377).

1010001101111 is a wasteful number, since it uses less digits than its factorization.

1010001101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274442.

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

Adding to 1010001101111 its reverse (1111011000101), we get a palindrome (2121012101212).

The spelling of 1010001101111 in words is "one trillion, ten billion, one million, one hundred one thousand, one hundred eleven".

Divisors: 1 31 193 617 5983 19127 119081 273601 3691511 8481631 52804993 168811817 1636954783 5233166327 32580680681 1010001101111