Base | Representation |
---|---|
bin | 100101010011001011… |
… | …0011110010010010000 |
3 | 21122202022212212201100 |
4 | 1022212112132102100 |
5 | 2303021140223100 |
6 | 100444135504400 |
7 | 5533650326622 |
oct | 1124626362220 |
9 | 248668785640 |
10 | 80100320400 |
11 | 30a745a7301 |
12 | 13635528100 |
13 | 7726b5b3b9 |
14 | 3c3c210c12 |
15 | 213c1d8400 |
hex | 12a659e490 |
80100320400 has 405 divisors, whose sum is σ = 286533114049. Its totient is φ = 20721592320.
The previous prime is 80100320389. The next prime is 80100320411. The reversal of 80100320400 is 402300108.
It is a happy number.
The square root of 80100320400 is 283020.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (80100320389) and next prime (80100320411).
It can be written as a sum of positive squares in 13 ways, for example, as 58891640976 + 21208679424 = 242676^2 + 145632^2 .
It is a super-2 number, since 2×801003204002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 900003556 + ... + 900003644.
Almost surely, 280100320400 is an apocalyptic number.
80100320400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
80100320400 is the 283020-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 80100320400
80100320400 is an abundant number, since it is smaller than the sum of its proper divisors (206432793649).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
80100320400 is a wasteful number, since it uses less digits than its factorization.
80100320400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 308 (or 152 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 80100320400 its reverse (402300108), we get a palindrome (80502620508).
It can be divided in two parts, 80100 and 320400, that multiplied together give a square (25664040000 = 1602002).
The spelling of 80100320400 in words is "eighty billion, one hundred million, three hundred twenty thousand, four hundred".
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