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1130131320 = 233583113467
BaseRepresentation
bin100001101011100…
…0110111101111000
32220202112121201120
41003113012331320
54303303200240
6304050345240
740001646333
oct10327067570
92822477646
101130131320
1152aa2542a
1227658b220
131501a0676
14aa14361a
1569338ad0
hex435c6f78

1130131320 has 64 divisors (see below), whose sum is σ = 3431272320. Its totient is φ = 297734784.

The previous prime is 1130131313. The next prime is 1130131361. The reversal of 1130131320 is 231310311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130131320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46774 + ... + 66693.

It is an arithmetic number, because the mean of its divisors is an integer number (53613630).

Almost surely, 21130131320 is an apocalyptic number.

1130131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130131320 is an abundant number, since it is smaller than the sum of its proper divisors (2301141000).

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

1130131320 is a wasteful number, since it uses less digits than its factorization.

1130131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113564 (or 113560 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1130131320 is about 33617.4258383952. The cubic root of 1130131320 is about 1041.6207839275.

Adding to 1130131320 its reverse (231310311), we get a palindrome (1361441631).

The spelling of 1130131320 in words is "one billion, one hundred thirty million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 113467 226934 340401 453868 567335 680802 907736 1134670 1361604 1702005 2269340 2723208 3404010 4538680 6808020 9417761 13616040 18835522 28253283 37671044 47088805 56506566 75342088 94177610 113013132 141266415 188355220 226026264 282532830 376710440 565065660 1130131320