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1131322320 = 243251982699
BaseRepresentation
bin100001101101110…
…1001101111010000
32220211210010110200
41003123221233100
54304104303240
6304132055200
740015036542
oct10333515720
92824703420
101131322320
11530669227
12276a64500
131504c97bb
14aa373692
15694c1930
hex436e9bd0

1131322320 has 120 divisors (see below), whose sum is σ = 3999372000. Its totient is φ = 285804288.

The previous prime is 1131322267. The next prime is 1131322327. The reversal of 1131322320 is 232231311.

1131322320 is a `hidden beast` number, since 11 + 313 + 22 + 320 = 666.

1131322320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1131322293 and 1131322302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131322327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27670 + ... + 55029.

It is an arithmetic number, because the mean of its divisors is an integer number (33328100).

Almost surely, 21131322320 is an apocalyptic number.

1131322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131322320 is an abundant number, since it is smaller than the sum of its proper divisors (2868049680).

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

1131322320 is a wasteful number, since it uses less digits than its factorization.

1131322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82737 (or 82728 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1131322320 is about 33635.1352011554. The cubic root of 1131322320 is about 1041.9865628981.

Adding to 1131322320 its reverse (232231311), we get a palindrome (1363553631).

It can be divided in two parts, 11313 and 22320, that added together give a palindrome (33633).

The spelling of 1131322320 in words is "one billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 82699 165398 248097 330796 413495 496194 661592 744291 826990 992388 1240485 1323184 1488582 1571281 1653980 1984776 2480970 2977164 3142562 3307960 3721455 3969552 4713843 4961940 5954328 6285124 6615920 7442910 7856405 9427686 9923880 11908656 12570248 14141529 14885820 15712810 18855372 19847760 23569215 25140496 28283058 29771640 31425620 37710744 47138430 56566116 59543280 62851240 70707645 75421488 94276860 113132232 125702480 141415290 188553720 226264464 282830580 377107440 565661160 1131322320