Search a number
-
+
2100135543 = 311232995413
BaseRepresentation
bin111110100101101…
…1000011001110111
312102100202221100220
41331023120121313
513300113314133
6544221105423
7103020600102
oct17513303167
95370687326
102100135543
11988520a10
124a73b8273
1327613776c
1415ccc3739
15c45925b3
hex7d2d8677

2100135543 has 32 divisors (see below), whose sum is σ = 3297507840. Its totient is φ = 1175475840.

The previous prime is 2100135533. The next prime is 2100135553. The reversal of 2100135543 is 3455310012.

It is an interprime number because it is at equal distance from previous prime (2100135533) and next prime (2100135553).

It is not a de Polignac number, because 2100135543 - 212 = 2100131447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100135533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25696 + ... + 69717.

It is an arithmetic number, because the mean of its divisors is an integer number (103047120).

Almost surely, 22100135543 is an apocalyptic number.

2100135543 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2100135543 is a deficient number, since it is larger than the sum of its proper divisors (1197372297).

2100135543 is a wasteful number, since it uses less digits than its factorization.

2100135543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95479.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2100135543 is about 45827.2358210704. The cubic root of 2100135543 is about 1280.6067157506.

Adding to 2100135543 its reverse (3455310012), we get a palindrome (5555445555).

The spelling of 2100135543 in words is "two billion, one hundred million, one hundred thirty-five thousand, five hundred forty-three".

Divisors: 1 3 11 23 29 33 69 87 253 319 667 759 957 2001 7337 22011 95413 286239 1049543 2194499 2766977 3148629 6583497 8300931 24139489 30436747 63640471 72418467 91310241 190921413 700045181 2100135543