Search a number
-
+
1081431000 = 23345313279
BaseRepresentation
bin100000001110101…
…0101001111011000
32210100220101110000
41000131111033120
54203321243000
6255150453000
735541004026
oct10035251730
92710811400
101081431000
11505492131
12262204160
1314307ba00
14a38a7716
1564e19000
hex407553d8

1081431000 has 480 divisors, whose sum is σ = 4145169600. Its totient is φ = 262828800.

The previous prime is 1081430993. The next prime is 1081431007. The reversal of 1081431000 is 1341801.

It is an interprime number because it is at equal distance from previous prime (1081430993) and next prime (1081431007).

It is a super-2 number, since 2×10814310002 = 2338986015522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081431007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13688961 + ... + 13689039.

It is an arithmetic number, because the mean of its divisors is an integer number (8635770).

Almost surely, 21081431000 is an apocalyptic number.

1081431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1081431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072584800).

1081431000 is an abundant number, since it is smaller than the sum of its proper divisors (3063738600).

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

1081431000 is a wasteful number, since it uses less digits than its factorization.

1081431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1081431000 is about 32885.1182147792. The cubic root of 1081431000 is about 1026.4385116406.

Adding to 1081431000 its reverse (1341801), we get a palindrome (1082772801).

It can be divided in two parts, 10814 and 31000, that added together give a palindrome (41814).

The spelling of 1081431000 in words is "one billion, eighty-one million, four hundred thirty-one thousand".