Search a number
-
+
21121232232 = 2333154751899
BaseRepresentation
bin10011101010111011…
…000110110101101000
32000111222022202201110
4103222323012311220
5321224013412412
613411501150320
71345255340352
oct235273066550
960458282643
1021121232232
118a59426431
12411555b3a0
131cb7a80869
1410451900d2
158393e7d3c
hex4eaec6d68

21121232232 has 64 divisors (see below), whose sum is σ = 54607104000. Its totient is φ = 6800713920.

The previous prime is 21121232213. The next prime is 21121232267. The reversal of 21121232232 is 23223212112.

It is a super-2 number, since 2×211212322322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21121232199 and 21121232208.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 381019 + ... + 432917.

It is an arithmetic number, because the mean of its divisors is an integer number (853236000).

Almost surely, 221121232232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27303552000).

21121232232 is an abundant number, since it is smaller than the sum of its proper divisors (33485871768).

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

21121232232 is a wasteful number, since it uses less digits than its factorization.

21121232232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52486 (or 52482 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 21121232232 its reverse (23223212112), we get a palindrome (44344444344).

The spelling of 21121232232 in words is "twenty-one billion, one hundred twenty-one million, two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 547 744 1094 1641 2188 3282 4376 6564 13128 16957 33914 50871 51899 67828 101742 103798 135656 155697 203484 207596 311394 406968 415192 622788 1245576 1608869 3217738 4826607 6435476 9653214 12870952 19306428 28388753 38612856 56777506 85166259 113555012 170332518 227110024 340665036 681330072 880051343 1760102686 2640154029 3520205372 5280308058 7040410744 10560616116 21121232232