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102122121220 = 2257729443723
BaseRepresentation
bin101111100011011110…
…0111110100000000100
3100202121001210021021221
41133012330332200010
53133121230334340
6114525251250124
710243452464560
oct1370674764004
9322531707257
10102122121220
113a345303199
12179605a9944
139826374382
144d2ac286a0
1529ca6c144a
hex17c6f3e804

102122121220 has 24 divisors (see below), whose sum is σ = 245093091264. Its totient is φ = 35013298656.

The previous prime is 102122121209. The next prime is 102122121263. The reversal of 102122121220 is 22121221201.

It is a happy number.

102122121220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102122121194 and 102122121203.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 364721722 + ... + 364722001.

It is an arithmetic number, because the mean of its divisors is an integer number (10212212136).

Almost surely, 2102122121220 is an apocalyptic number.

102122121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122121220 is an abundant number, since it is smaller than the sum of its proper divisors (142970970044).

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

102122121220 is a wasteful number, since it uses less digits than its factorization.

102122121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729443739 (or 729443737 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102122121220 its reverse (22121221201), we get a palindrome (124243342421).

It can be divided in two parts, 1021221 and 21220, that added together give a square (1042441 = 10212).

The spelling of 102122121220 in words is "one hundred two billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 729443723 1458887446 2917774892 3647218615 5106106061 7294437230 10212212122 14588874460 20424424244 25530530305 51061060610 102122121220