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1031121300 = 2235211417621
BaseRepresentation
bin111101011101011…
…010100110010100
32122212020101111210
4331131122212110
54102431340200
6250152301420
734360246356
oct7535324624
92585211453
101031121300
1148a04a770
122493a1870
13135815661
149ad2d0d6
15607cc650
hex3d75a994

1031121300 has 144 divisors (see below), whose sum is σ = 3334411584. Its totient is φ = 243840000.

The previous prime is 1031121269. The next prime is 1031121313. The reversal of 1031121300 is 31211301.

It is a super-2 number, since 2×10311213002 = 2126422270627380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 131490 + ... + 139110.

It is an arithmetic number, because the mean of its divisors is an integer number (23155636).

Almost surely, 21031121300 is an apocalyptic number.

1031121300 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 1031121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667205792).

1031121300 is an abundant number, since it is smaller than the sum of its proper divisors (2303290284).

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

1031121300 is a wasteful number, since it uses less digits than its factorization.

1031121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690 (or 7683 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1031121300 is about 32111.0775278563. The cubic root of 1031121300 is about 1010.2679745108.

Adding to 1031121300 its reverse (31211301), we get a palindrome (1062332601).

Subtracting from 1031121300 its reverse (31211301), we obtain a palindrome (999909999).

The spelling of 1031121300 in words is "one billion, thirty-one million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 41 44 50 55 60 66 75 82 100 110 123 132 150 164 165 205 220 246 275 300 330 410 451 492 550 615 660 820 825 902 1025 1100 1230 1353 1650 1804 2050 2255 2460 2706 3075 3300 4100 4510 5412 6150 6765 7621 9020 11275 12300 13530 15242 22550 22863 27060 30484 33825 38105 45100 45726 67650 76210 83831 91452 114315 135300 152420 167662 190525 228630 251493 312461 335324 381050 419155 457260 502986 571575 624922 762100 838310 937383 1005972 1143150 1249844 1257465 1562305 1676620 1874766 2095775 2286300 2514930 3124610 3437071 3749532 4191550 4686915 5029860 6249220 6287325 6874142 7811525 8383100 9373830 10311213 12574650 13748284 15623050 17185355 18747660 20622426 23434575 25149300 31246100 34370710 41244852 46869150 51556065 68741420 85926775 93738300 103112130 171853550 206224260 257780325 343707100 515560650 1031121300