Base | Representation |
---|---|
bin | 101110100100101010… |
… | …0011100010011101000 |
3 | 100120011011122001200202 |
4 | 1131021110130103220 |
5 | 3114312132442100 |
6 | 113540154251332 |
7 | 10140306614666 |
oct | 1351124342350 |
9 | 316134561622 |
10 | 100014343400 |
11 | 39463542554 |
12 | 17472726b48 |
13 | 957b79226a |
14 | 4baad15c36 |
15 | 290561e7d5 |
hex | 174951c4e8 |
100014343400 has 96 divisors (see below), whose sum is σ = 236514977400. Its totient is φ = 39321676800.
The previous prime is 100014343393. The next prime is 100014343421. The reversal of 100014343400 is 4343410001.
It is a happy number.
It can be written as a sum of positive squares in 12 ways, for example, as 43561533796 + 56452809604 = 208714^2 + 237598^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
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 23 ways as a sum of consecutive naturals, for example, 27679994 + ... + 27683606.
Almost surely, 2100014343400 is an apocalyptic number.
100014343400 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 100014343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118257488700).
100014343400 is an abundant number, since it is smaller than the sum of its proper divisors (136500634000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100014343400 is a wasteful number, since it uses less digits than its factorization.
100014343400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5959 (or 5950 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
Adding to 100014343400 its reverse (4343410001), we get a palindrome (104357753401).
The spelling of 100014343400 in words is "one hundred billion, fourteen million, three hundred forty-three thousand, four hundred".
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