Base | Representation |
---|---|
bin | 11111001010010000001… |
… | …001001100100001011100 |
3 | 21120201002201101102111011 |
4 | 133022100021030201130 |
5 | 240040401340334400 |
6 | 4315412152305004 |
7 | 310463465023636 |
oct | 37122011144134 |
9 | 7521081342434 |
10 | 2141312043100 |
11 | 75614190836a |
12 | 2a70010a2164 |
13 | 126c03bb9b19 |
14 | 758d6455a56 |
15 | 3aa78ebc8ba |
hex | 1f29024c85c |
2141312043100 has 72 divisors (see below), whose sum is σ = 4677083147520. Its totient is φ = 850918841280.
The previous prime is 2141312043061. The next prime is 2141312043107. The reversal of 2141312043100 is 13402131412.
It is a super-2 number, since 2×21413120431002 (a number of 25 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2141312043107) 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 23 ways as a sum of consecutive naturals, for example, 41425071 + ... + 41476729.
It is an arithmetic number, because the mean of its divisors is an integer number (64959488160).
Almost surely, 22141312043100 is an apocalyptic number.
2141312043100 is a gapful number since it is divisible by the number (20) 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 2141312043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338541573760).
2141312043100 is an abundant number, since it is smaller than the sum of its proper divisors (2535771104420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2141312043100 is a wasteful number, since it uses less digits than its factorization.
2141312043100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54379 (or 54372 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
Adding to 2141312043100 its reverse (13402131412), we get a palindrome (2154714174512).
The spelling of 2141312043100 in words is "two trillion, one hundred forty-one billion, three hundred twelve million, forty-three thousand, one hundred".
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