Search a number
-
+
211132124120 = 2355779147839
BaseRepresentation
bin1100010010100001110…
…1001000101111011000
3202011222011100011221202
43010220131020233120
511424344310432440
6240554234053332
721153023305241
oct3045035105730
9664864304852
10211132124120
11815a4641885
1234b0387a248
1316ba9727078
14a30c745cc8
15575a911615
hex3128748bd8

211132124120 has 32 divisors (see below), whose sum is σ = 475870636800. Its totient is φ = 84306475008.

The previous prime is 211132124023. The next prime is 211132124129. The reversal of 211132124120 is 21421231112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211132124092 and 211132124101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211132124129) 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 7 ways as a sum of consecutive naturals, for example, 4550840 + ... + 4596999.

It is an arithmetic number, because the mean of its divisors is an integer number (14870957400).

Almost surely, 2211132124120 is an apocalyptic number.

211132124120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211132124120 is an abundant number, since it is smaller than the sum of its proper divisors (264738512680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211132124120 is a wasteful number, since it uses less digits than its factorization.

211132124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9148427 (or 9148423 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 211132124120 its reverse (21421231112), we get a palindrome (232553355232).

The spelling of 211132124120 in words is "two hundred eleven billion, one hundred thirty-two million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 577 1154 2308 2885 4616 5770 11540 23080 9147839 18295678 36591356 45739195 73182712 91478390 182956780 365913560 5278303103 10556606206 21113212412 26391515515 42226424824 52783031030 105566062060 211132124120