Search a number
-
+
1000231001220 = 2235112952258673
BaseRepresentation
bin11101000111000100110…
…10011101110010000100
310112121202211002111120210
432203202122131302010
5112341433114014340
62043255541355420
7132156441141663
oct16434232356204
93477684074523
101000231001220
113562173625a0
12141a27408b70
13734240b8759
14365a8db8dda
151b041b96180
hexe8e269dc84

1000231001220 has 96 divisors (see below), whose sum is σ = 3160604603520. Its totient is φ = 234118850560.

The previous prime is 1000231001213. The next prime is 1000231001221. The reversal of 1000231001220 is 221001320001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000231001196 and 1000231001205.

It is not an unprimeable number, because it can be changed into a prime (1000231001221) 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, 26110197 + ... + 26148476.

It is an arithmetic number, because the mean of its divisors is an integer number (32922964620).

Almost surely, 21000231001220 is an apocalyptic number.

1000231001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000231001220 is an abundant number, since it is smaller than the sum of its proper divisors (2160373602300).

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

1000231001220 is a wasteful number, since it uses less digits than its factorization.

1000231001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52258725 (or 52258723 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000231001220 its reverse (221001320001), we get a palindrome (1221232321221).

The spelling of 1000231001220 in words is "one trillion, two hundred thirty-one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6380 9570 19140 52258673 104517346 156776019 209034692 261293365 313552038 522586730 574845403 627104076 783880095 1045173460 1149690806 1515501517 1567760190 1724536209 2299381612 2874227015 3031003034 3135520380 3449072418 4546504551 5748454030 6062006068 6898144836 7577507585 8622681045 9093009102 11496908060 15155015170 16670516687 17245362090 18186018204 22732522755 30310030340 33341033374 34490724180 45465045510 50011550061 66682066748 83352583435 90930091020 100023100122 166705166870 200046200244 250057750305 333410333740 500115500610 1000231001220