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1031113320 = 233531733797
BaseRepresentation
bin111101011101011…
…000101001101000
32122212012222120020
4331131120221220
54102431111240
6250152200440
734360214166
oct7535305150
92585188506
101031113320
1148a044776
12249399120
13135811b33
149ad2a236
15607ca0d0
hex3d758a68

1031113320 has 128 divisors (see below), whose sum is σ = 3237719040. Its totient is φ = 262379520.

The previous prime is 1031113313. The next prime is 1031113339. The reversal of 1031113320 is 233111301.

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 1031113320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269662 + ... + 273458.

It is an arithmetic number, because the mean of its divisors is an integer number (25294680).

Almost surely, 21031113320 is an apocalyptic number.

1031113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618859520).

1031113320 is an abundant number, since it is smaller than the sum of its proper divisors (2206605720).

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

1031113320 is a wasteful number, since it uses less digits than its factorization.

1031113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3911 counting only the distinct ones).

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

The square root of 1031113320 is about 32110.9532714306. The cubic root of 1031113320 is about 1010.2653682997.

Adding to 1031113320 its reverse (233111301), we get a palindrome (1264224621).

The spelling of 1031113320 in words is "one billion, thirty-one million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 73 93 120 124 146 155 186 219 248 292 310 365 372 438 465 584 620 730 744 876 930 1095 1240 1460 1752 1860 2190 2263 2920 3720 3797 4380 4526 6789 7594 8760 9052 11315 11391 13578 15188 18104 18985 22630 22782 27156 30376 33945 37970 45260 45564 54312 56955 67890 75940 90520 91128 113910 117707 135780 151880 227820 235414 271560 277181 353121 455640 470828 554362 588535 706242 831543 941656 1108724 1177070 1385905 1412484 1663086 1765605 2217448 2354140 2771810 2824968 3326172 3531210 4157715 4708280 5543620 6652344 7062420 8315430 8592611 11087240 14124840 16630860 17185222 25777833 33261720 34370444 42963055 51555666 68740888 85926110 103111332 128889165 171852220 206222664 257778330 343704440 515556660 1031113320