Base | Representation |
---|---|
bin | 1010000011110111010100… |
… | …11001011001010010000100 |
3 | 2220022221100220001010011022 |
4 | 11001323222121121102010 |
5 | 10344430413102200400 |
6 | 115015101122130312 |
7 | 4442222625102134 |
oct | 501735231312204 |
9 | 86287326033138 |
10 | 22123014100100 |
11 | 705a354793a61 |
12 | 25937087b0998 |
13 | c46264312844 |
14 | 566a8c48aac4 |
15 | 28570c745b85 |
hex | 141eea659484 |
22123014100100 has 144 divisors (see below), whose sum is σ = 48963397683648. Its totient is φ = 8674287874560.
The previous prime is 22123014100079. The next prime is 22123014100171. The reversal of 22123014100100 is 100141032122.
It is a super-3 number, since 3×221230141001003 (a number of 41 digits) contains 333 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1435339994 + ... + 1435355406.
Almost surely, 222123014100100 is an apocalyptic number.
22123014100100 is a gapful number since it is divisible by the number (20) 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 22123014100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24481698841824).
22123014100100 is an abundant number, since it is smaller than the sum of its proper divisors (26840383583548).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22123014100100 is a wasteful number, since it uses less digits than its factorization.
22123014100100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16534 (or 16527 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 17.
Adding to 22123014100100 its reverse (100141032122), we get a palindrome (22223155132222).
The spelling of 22123014100100 in words is "twenty-two trillion, one hundred twenty-three billion, fourteen million, one hundred thousand, one hundred".
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