Base | Representation |
---|---|
bin | 1000110011010001100… |
… | …1101101111100110000 |
3 | 112110021121010212122101 |
4 | 2030310121231330300 |
5 | 4434130432344100 |
6 | 153243421150144 |
7 | 13631644254016 |
oct | 2146431557460 |
9 | 473247125571 |
10 | 151203012400 |
11 | 59141182180 |
12 | 253796bb354 |
13 | 11348889b0b |
14 | 74654668b6 |
15 | 3dee51286a |
hex | 233466df30 |
151203012400 has 120 divisors (see below), whose sum is σ = 399926300400. Its totient is φ = 54478310400.
The previous prime is 151203012353. The next prime is 151203012463. The reversal of 151203012400 is 4210302151.
151203012400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 23 ways as a sum of consecutive naturals, for example, 321966 + ... + 637234.
It is an arithmetic number, because the mean of its divisors is an integer number (3332719170).
Almost surely, 2151203012400 is an apocalyptic number.
151203012400 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 151203012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199963150200).
151203012400 is an abundant number, since it is smaller than the sum of its proper divisors (248723288000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151203012400 is a wasteful number, since it uses less digits than its factorization.
151203012400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 315407 (or 315396 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 19.
Adding to 151203012400 its reverse (4210302151), we get a palindrome (155413314551).
The spelling of 151203012400 in words is "one hundred fifty-one billion, two hundred three million, twelve thousand, four hundred".
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