Base | Representation |
---|---|
bin | 11011100001000111101000… |
… | …110110100000011011010100 |
3 | 120212111201000220021202111020 |
4 | 123201013220312200123110 |
5 | 111330321003211231400 |
6 | 1105221142434041140 |
7 | 34330431501433632 |
oct | 3341075066403324 |
9 | 525451026252436 |
10 | 121023200102100 |
11 | 3561a7184311aa |
12 | 116a7134a191b0 |
13 | 526b59207627a |
14 | 21c57a87b2352 |
15 | ded157a562a0 |
hex | 6e11e8da06d4 |
121023200102100 has 288 divisors, whose sum is σ = 364494085885440. Its totient is φ = 30989693396480.
The previous prime is 121023200102081. The next prime is 121023200102209. The reversal of 121023200102100 is 1201002320121.
121023200102100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1210232001021002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 121023200102100.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2099136874 + ... + 2099194526.
It is an arithmetic number, because the mean of its divisors is an integer number (1265604464880).
Almost surely, 2121023200102100 is an apocalyptic number.
121023200102100 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 121023200102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182247042942720).
121023200102100 is an abundant number, since it is smaller than the sum of its proper divisors (243470885783340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121023200102100 is an equidigital number, since it uses as much as digits as its factorization.
121023200102100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 57876 (or 57763 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
Adding to 121023200102100 its reverse (1201002320121), we get a palindrome (122224202422221).
The spelling of 121023200102100 in words is "one hundred twenty-one trillion, twenty-three billion, two hundred million, one hundred two thousand, one hundred".
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