Search a number
-
+
2111130210112 = 267115928325657
BaseRepresentation
bin11110101110001001001…
…010101000111101000000
321110211012021221110010221
4132232021022220331000
5234042043313210422
64253501223032424
7305344526463520
oct36561112507500
97424167843127
102111130210112
11744363a6a540
122a119929b714
13124103c5b751
1474271bd7680
1539dae4273c7
hex1eb892a8f40

2111130210112 has 224 divisors, whose sum is σ = 5330492605440. Its totient is φ = 805688709120.

The previous prime is 2111130210083. The next prime is 2111130210113. The reversal of 2111130210112 is 2110120311112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111130210113) 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 31 ways as a sum of consecutive naturals, for example, 82269988 + ... + 82295644.

Almost surely, 22111130210112 is an apocalyptic number.

2111130210112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111130210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665246302720).

2111130210112 is an abundant number, since it is smaller than the sum of its proper divisors (3219362395328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2111130210112 is a wasteful number, since it uses less digits than its factorization.

2111130210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26029 (or 26019 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2111130210112 its reverse (2110120311112), we get a palindrome (4221250521224).

The spelling of 2111130210112 in words is "two trillion, one hundred eleven billion, one hundred thirty million, two hundred ten thousand, one hundred twelve".