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1131303120 = 243537127399
BaseRepresentation
bin100001101101110…
…0101000011010000
32220211202011010120
41003123211003100
54304103144440
6304131430240
740014626553
oct10333450320
92824664116
101131303120
11530655862
12276a55380
131504c0b3c
14aa36a69a
15694badd0
hex436e50d0

1131303120 has 80 divisors (see below), whose sum is σ = 3601852800. Its totient is φ = 293524992.

The previous prime is 1131303109. The next prime is 1131303161. The reversal of 1131303120 is 213031311.

It is a tau number, because it is divible by the number of its divisors (80).

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 1131303120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54820 + ... + 72579.

It is an arithmetic number, because the mean of its divisors is an integer number (45023160).

Almost surely, 21131303120 is an apocalyptic number.

1131303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131303120 is an abundant number, since it is smaller than the sum of its proper divisors (2470549680).

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

1131303120 is a wasteful number, since it uses less digits than its factorization.

1131303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127452 (or 127446 counting only the distinct ones).

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

The square root of 1131303120 is about 33634.8497841153. The cubic root of 1131303120 is about 1041.9806682458.

Adding to 1131303120 its reverse (213031311), we get a palindrome (1344334431).

Subtracting from 1131303120 its reverse (213031311), we obtain a square (918271809 = 303032).

The spelling of 1131303120 in words is "one billion, one hundred thirty-one million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 127399 254798 382197 509596 636995 764394 1019192 1273990 1528788 1910985 2038384 2547980 3057576 3821970 4713763 5095960 6115152 7643940 9427526 10191920 14141289 15287880 18855052 23568815 28282578 30575760 37710104 47137630 56565156 70706445 75420208 94275260 113130312 141412890 188550520 226260624 282825780 377101040 565651560 1131303120