Base | Representation |
---|---|
bin | 1110000101011101… |
… | …1100100111000100 |
3 | 100202111122201111111 |
4 | 3201113130213010 |
5 | 30220420120400 |
6 | 1423104214404 |
7 | 162461066134 |
oct | 34127344704 |
9 | 10674581444 |
10 | 3781020100 |
11 | 1670318400 |
12 | 89630a404 |
13 | 483450400 |
14 | 27c230ac4 |
15 | 171e1c3ba |
hex | e15dc9c4 |
3781020100 has 243 divisors, whose sum is σ = 9997998759. Its totient is φ = 1239638400.
The previous prime is 3781019999. The next prime is 3781020101. The reversal of 3781020100 is 10201873.
The square root of 3781020100 is 61490.
It is a perfect power (a square), and thus also a powerful number.
3781020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 974563524 + 2806456576 = 31218^2 + 52976^2 .
It is a super-2 number, since 2×37810201002 = 28592225993208020000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (3781020101) by changing a digit.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 87930679 + ... + 87930721.
Almost surely, 23781020100 is an apocalyptic number.
3781020100 is the 61490-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3781020100
3781020100 is an abundant number, since it is smaller than the sum of its proper divisors (6216978659).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3781020100 is a wasteful number, since it uses less digits than its factorization.
3781020100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 148 (or 74 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 22.
The cubic root of 3781020100 is about 1557.8883466088. Note that the first 3 decimals are identical.
Adding to 3781020100 its reverse (10201873), we get a palindrome (3791221973).
The spelling of 3781020100 in words is "three billion, seven hundred eighty-one million, twenty thousand, one hundred".
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