Search a number
-
+
1131331120 = 24524158679
BaseRepresentation
bin100001101101110…
…1011111000110000
32220211210120112121
41003123223320300
54304110043440
6304132204024
740015104313
oct10333537060
92824716477
101131331120
115306748a7
12276a69614
131505007ca
14aa37697a
15694c434a
hex436ebe30

1131331120 has 40 divisors (see below), whose sum is σ = 2641304160. Its totient is φ = 450647040.

The previous prime is 1131331099. The next prime is 1131331133. The reversal of 1131331120 is 211331311.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1131331094 and 1131331103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10060 + ... + 48619.

It is an arithmetic number, because the mean of its divisors is an integer number (66032604).

Almost surely, 21131331120 is an apocalyptic number.

1131331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131331120 is an abundant number, since it is smaller than the sum of its proper divisors (1509973040).

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

1131331120 is a wasteful number, since it uses less digits than its factorization.

1131331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58933 (or 58927 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1131331120 is about 33635.2660164893. The cubic root of 1131331120 is about 1041.9892645915.

Adding to 1131331120 its reverse (211331311), we get a palindrome (1342662431).

The spelling of 1131331120 in words is "one billion, one hundred thirty-one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 964 1205 1928 2410 3856 4820 9640 19280 58679 117358 234716 293395 469432 586790 938864 1173580 2347160 4694320 14141639 28283278 56566556 70708195 113133112 141416390 226266224 282832780 565665560 1131331120