Search a number
-
+
1130131128 = 233723292477
BaseRepresentation
bin100001101011100…
…0110111010111000
32220202112121110110
41003113012322320
54303303144003
6304050344320
740001645640
oct10327067270
92822477413
101130131128
1152aa25275
1227658b0a0
131501a0559
14aa143520
1569338a03
hex435c6eb8

1130131128 has 64 divisors (see below), whose sum is σ = 3369346560. Its totient is φ = 308854656.

The previous prime is 1130131109. The next prime is 1130131157. The reversal of 1130131128 is 8211310311.

It is a happy number.

1130131128 is digitally balanced in base 4, 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 (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142375 + ... + 150102.

It is an arithmetic number, because the mean of its divisors is an integer number (52646040).

Almost surely, 21130131128 is an apocalyptic number.

It is an amenable number.

1130131128 is an abundant number, since it is smaller than the sum of its proper divisors (2239215432).

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

1130131128 is a wasteful number, since it uses less digits than its factorization.

1130131128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292516 (or 292512 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 1130131128 is about 33617.4229827332. The cubic root of 1130131128 is about 1041.6207249399.

Adding to 1130131128 its reverse (8211310311), we get a palindrome (9341441439).

The spelling of 1130131128 in words is "one billion, one hundred thirty million, one hundred thirty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 292477 584954 877431 1169908 1754862 2047339 2339816 3509724 4094678 6142017 6726971 7019448 8189356 12284034 13453942 16378712 20180913 24568068 26907884 40361826 47088797 49136136 53815768 80723652 94177594 141266391 161447304 188355188 282532782 376710376 565065564 1130131128