Base | Representation |
---|---|
bin | 1000110011010101110… |
… | …1100101111000000000 |
3 | 112110022211121211200000 |
4 | 2030311131211320000 |
5 | 4434200011230440 |
6 | 153245254400000 |
7 | 13632251430600 |
oct | 2146535457000 |
9 | 473284554600 |
10 | 151220805120 |
11 | 59150225100 |
12 | 25383660000 |
13 | 1134c479658 |
14 | 7467978c00 |
15 | 3e00d79730 |
hex | 2335765e00 |
151220805120 has 2160 divisors, whose sum is σ = 711383937264. Its totient is φ = 30656102400.
The previous prime is 151220805091. The next prime is 151220805139. The reversal of 151220805120 is 21508022151.
It is a happy number.
151220805120 is a `hidden beast` number, since 1 + 51 + 2 + 20 + 80 + 512 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2160).
It is a super-3 number, since 3×1512208051203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3688312300 + ... + 3688312340.
Almost surely, 2151220805120 is an apocalyptic number.
151220805120 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 151220805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355691968632).
151220805120 is an abundant number, since it is smaller than the sum of its proper divisors (560163132144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151220805120 is an equidigital number, since it uses as much as digits as its factorization.
151220805120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115 (or 69 counting only the distinct ones).
The product of its (nonzero) digits is 1600, while the sum is 27.
Adding to 151220805120 its reverse (21508022151), we get a palindrome (172728827271).
The spelling of 151220805120 in words is "one hundred fifty-one billion, two hundred twenty million, eight hundred five thousand, one hundred twenty".
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