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1130311000 = 235371312421
BaseRepresentation
bin100001101011111…
…0010110101011000
32220202212202012101
41003113302311120
54303324423000
6304054253144
740003325230
oct10327626530
92822782171
101130311000
11530038425
122766571b4
131502343a0
14aa18ccc0
1569371e6a
hex435f2d58

1130311000 has 128 divisors (see below), whose sum is σ = 3255557760. Its totient is φ = 357696000.

The previous prime is 1130310997. The next prime is 1130311031. The reversal of 1130311000 is 1130311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 84790 + ... + 97210.

It is an arithmetic number, because the mean of its divisors is an integer number (25434045).

Almost surely, 21130311000 is an apocalyptic number.

1130311000 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 1130311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627778880).

1130311000 is an abundant number, since it is smaller than the sum of its proper divisors (2125246760).

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

1130311000 is a wasteful number, since it uses less digits than its factorization.

1130311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12462 (or 12448 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1130311000 is about 33620.0981557163. The cubic root of 1130311000 is about 1041.6759835611.

Adding to 1130311000 its reverse (1130311), we get a palindrome (1131441311).

1130311000 divided by its reverse (1130311) gives a cube (1000 = 103).

The spelling of 1130311000 in words is "one billion, one hundred thirty million, three hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 12421 13000 18200 22750 24842 45500 49684 62105 86947 91000 99368 124210 161473 173894 248420 310525 322946 347788 434735 496840 621050 645892 695576 807365 869470 1130311 1242100 1291784 1552625 1614730 1738940 2173675 2260622 2484200 3105250 3229460 3477880 4036825 4347350 4521244 5651555 6210500 6458920 8073650 8694700 9042488 10868375 11303110 12421000 16147300 17389400 20184125 21736750 22606220 28257775 32294600 40368250 43473500 45212440 56515550 80736500 86947000 113031100 141288875 161473000 226062200 282577750 565155500 1130311000