Search a number
-
+
220131133420 = 225111778356267
BaseRepresentation
bin1100110100000011010…
…1101000011111101100
3210001012022120012222111
43031000311220133230
512101312032232140
6245043222053404
721622024522042
oct3150065503754
9701168505874
10220131133420
11853a2316750
12367b557a264
13179b1c1b443
14a923980392
155ad59947ea
hex3340d687ec

220131133420 has 48 divisors (see below), whose sum is σ = 504337736448. Its totient is φ = 80041760960.

The previous prime is 220131133403. The next prime is 220131133421. The reversal of 220131133420 is 24331131022.

220131133420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 220131133391 and 220131133400.

It is not an unprimeable number, because it can be changed into a prime (220131133421) 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 15 ways as a sum of consecutive naturals, for example, 3884127 + ... + 3940393.

It is an arithmetic number, because the mean of its divisors is an integer number (10507036176).

Almost surely, 2220131133420 is an apocalyptic number.

220131133420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220131133420 is an abundant number, since it is smaller than the sum of its proper divisors (284206603028).

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

220131133420 is a wasteful number, since it uses less digits than its factorization.

220131133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74070 (or 74068 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 220131133420 its reverse (24331131022), we get a palindrome (244462264442).

The spelling of 220131133420 in words is "two hundred twenty billion, one hundred thirty-one million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 17783 35566 56267 71132 88915 112534 177830 195613 225068 281335 355660 391226 562670 618937 782452 978065 1125340 1237874 1956130 2475748 3094685 3912260 6189370 12378740 1000596061 2001192122 4002384244 5002980305 10005960610 11006556671 20011921220 22013113342 44026226684 55032783355 110065566710 220131133420