Base | Representation |
---|---|
bin | 111001000100000010… |
… | …1011011111110111000 |
3 | 102201022011210022101102 |
4 | 1302020011123332320 |
5 | 4001431301223000 |
6 | 132143424510532 |
7 | 11565465415166 |
oct | 1621005337670 |
9 | 381264708342 |
10 | 122542211000 |
11 | 47a73979950 |
12 | 1b8bb17b448 |
13 | b72baa5831 |
14 | 5d06c24236 |
15 | 32c326d3d5 |
hex | 1c8815bfb8 |
122542211000 has 128 divisors (see below), whose sum is σ = 313134232320. Its totient is φ = 44515600000.
The previous prime is 122542210919. The next prime is 122542211003. The reversal of 122542211000 is 112245221.
122542211000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122542211003) 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, 11995895 + ... + 12006105.
It is an arithmetic number, because the mean of its divisors is an integer number (2446361190).
Almost surely, 2122542211000 is an apocalyptic number.
122542211000 is a gapful number since it is divisible by the number (10) 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 122542211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156567116160).
122542211000 is an abundant number, since it is smaller than the sum of its proper divisors (190592021320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122542211000 is a wasteful number, since it uses less digits than its factorization.
122542211000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11334 (or 11320 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 20.
Adding to 122542211000 its reverse (112245221), we get a palindrome (122654456221).
It can be divided in two parts, 12254221 and 1000, that added together give a palindrome (12255221).
The spelling of 122542211000 in words is "one hundred twenty-two billion, five hundred forty-two million, two hundred eleven thousand".
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