Base | Representation |
---|---|
bin | 111100001110110… |
… | …010110011001110 |
3 | 2121102110021120100 |
4 | 330032302303032 |
5 | 4032142323204 |
6 | 244134431530 |
7 | 34020126240 |
oct | 7416626316 |
9 | 2542407510 |
10 | 1010511054 |
11 | 479452a03 |
12 | 2425025a6 |
13 | 13147a547 |
14 | 982c6090 |
15 | 5daaaa39 |
hex | 3c3b2cce |
1010511054 has 96 divisors (see below), whose sum is σ = 2562094080. Its totient is φ = 281880000.
The previous prime is 1010511053. The next prime is 1010511079. The reversal of 1010511054 is 4501150101.
It is a happy number.
1010511054 is a `hidden beast` number, since 101 + 0 + 511 + 0 + 54 = 666.
It is a super-2 number, since 2×10105110542 = 2042265180512381832, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1010511053) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 1345179 + ... + 1345929.
It is an arithmetic number, because the mean of its divisors is an integer number (26688480).
Almost surely, 21010511054 is an apocalyptic number.
1010511054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1010511054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281047040).
1010511054 is an abundant number, since it is smaller than the sum of its proper divisors (1551583026).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1010511054 is a wasteful number, since it uses less digits than its factorization.
1010511054 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1006 (or 1003 counting only the distinct ones).
The product of its (nonzero) digits is 100, while the sum is 18.
The square root of 1010511054 is about 31788.5365186886. The cubic root of 1010511054 is about 1003.4914800462.
Adding to 1010511054 its reverse (4501150101), we get a palindrome (5511661155).
The spelling of 1010511054 in words is "one billion, ten million, five hundred eleven thousand, fifty-four".
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