Search a number
-
+
2110122210112 = 26716728204157
BaseRepresentation
bin11110101101001101000…
…101011011001101000000
321110201121001012202002121
4132231031011123031000
5234033012241210422
64253213214054024
7305310536563150
oct36551505331500
97421531182077
102110122210112
11743996a82194
122a0b577aa314
13123ca3180147
14741b7da6760
1539d50bb58c7
hex1eb4d15b340

2110122210112 has 56 divisors (see below), whose sum is σ = 4814111320704. Its totient is φ = 898922860032.

The previous prime is 2110122210109. The next prime is 2110122210149.

2110122210112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14027263 + ... + 14176894.

It is an arithmetic number, because the mean of its divisors is an integer number (85966273584).

Almost surely, 22110122210112 is an apocalyptic number.

It is an amenable number.

2110122210112 is an abundant number, since it is smaller than the sum of its proper divisors (2703989110592).

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

2110122210112 is a wasteful number, since it uses less digits than its factorization.

2110122210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28204343 (or 28204333 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 2110122210112 in words is "two trillion, one hundred ten billion, one hundred twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 167 224 334 448 668 1169 1336 2338 2672 4676 5344 9352 10688 18704 37408 74816 28204157 56408314 112816628 197429099 225633256 394858198 451266512 789716396 902533024 1579432792 1805066048 3158865584 4710094219 6317731168 9420188438 12635462336 18840376876 32970659533 37680753752 65941319066 75361507504 131882638132 150723015008 263765276264 301446030016 527530552528 1055061105056 2110122210112