Base | Representation |
---|---|
bin | 101000010001001… |
… | …1110010000010100 |
3 | 10111011112210021200 |
4 | 1100202132100110 |
5 | 10231402322400 |
6 | 342025112500 |
7 | 45325062465 |
oct | 12042362024 |
9 | 3434483250 |
10 | 1351214100 |
11 | 6337a8175 |
12 | 318628730 |
13 | 186c29b92 |
14 | cb652d6c |
15 | 7d959b00 |
hex | 5089e414 |
1351214100 has 108 divisors (see below), whose sum is σ = 4349880444. Its totient is φ = 350576640.
The previous prime is 1351214093. The next prime is 1351214101. The reversal of 1351214100 is 14121531.
1351214100 is a `hidden beast` number, since 1 + 351 + 214 + 100 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 32216976 + 1318997124 = 5676^2 + 36318^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1351214101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13012 + ... + 53588.
Almost surely, 21351214100 is an apocalyptic number.
1351214100 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 1351214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174940222).
1351214100 is an abundant number, since it is smaller than the sum of its proper divisors (2998666344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1351214100 is a wasteful number, since it uses less digits than its factorization.
1351214100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40634 (or 40624 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 18.
The square root of 1351214100 is about 36758.8642370789. The cubic root of 1351214100 is about 1105.5406675529.
Adding to 1351214100 its reverse (14121531), we get a palindrome (1365335631).
The spelling of 1351214100 in words is "one billion, three hundred fifty-one million, two hundred fourteen thousand, one hundred".
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