Base | Representation |
---|---|
bin | 1011101011001111… |
… | …0000111100101010 |
3 | 22002102102101212100 |
4 | 2322303300330222 |
5 | 22404314211020 |
6 | 1234555154230 |
7 | 140444453052 |
oct | 27263607452 |
9 | 8072371770 |
10 | 3134132010 |
11 | 1369154849 |
12 | 735745976 |
13 | 3ac4189a9 |
14 | 21a360562 |
15 | 13523ba90 |
hex | bacf0f2a |
3134132010 has 96 divisors (see below), whose sum is σ = 8281145808. Its totient is φ = 822297600.
The previous prime is 3134131999. The next prime is 3134132021. The reversal of 3134132010 is 102314313.
3134132010 is a `hidden beast` number, since 3 + 1 + 341 + 320 + 1 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (3134131999) and next prime (3134132021).
It can be written as a sum of positive squares in 8 ways, for example, as 3007096569 + 127035441 = 54837^2 + 11271^2 .
It is a super-2 number, since 2×31341320102 = 19645566912213280200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1571574 + ... + 1573566.
Almost surely, 23134132010 is an apocalyptic number.
3134132010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 3134132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140572904).
3134132010 is an abundant number, since it is smaller than the sum of its proper divisors (5147013798).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3134132010 is a wasteful number, since it uses less digits than its factorization.
3134132010 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2280 (or 2277 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 3134132010 is about 55983.3190334407. The cubic root of 3134132010 is about 1463.4315993092.
Adding to 3134132010 its reverse (102314313), we get a palindrome (3236446323).
The spelling of 3134132010 in words is "three billion, one hundred thirty-four million, one hundred thirty-two thousand, ten".
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