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1100035020 = 2235719137849
BaseRepresentation
bin100000110010001…
…0011001111001100
32211122220120100210
41001210103033030
54223102110040
6301053322420
736155100120
oct10144231714
92748816323
101100035020
11514a39657
12268496410
13146b938c6
14a614b580
1566891480
hex419133cc

1100035020 has 96 divisors (see below), whose sum is σ = 3705408000. Its totient is φ = 238201344.

The previous prime is 1100034979. The next prime is 1100035067. The reversal of 1100035020 is 205300011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100034987 and 1100035005.

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 31 ways as a sum of consecutive naturals, for example, 60945 + ... + 76904.

It is an arithmetic number, because the mean of its divisors is an integer number (38598000).

Almost surely, 21100035020 is an apocalyptic number.

1100035020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100035020 is an abundant number, since it is smaller than the sum of its proper divisors (2605372980).

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

1100035020 is a wasteful number, since it uses less digits than its factorization.

1100035020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137887 (or 137885 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1100035020 is about 33166.7758457164. The cubic root of 1100035020 is about 1032.2910700218.

Adding to 1100035020 its reverse (205300011), we get a palindrome (1305335031).

The spelling of 1100035020 in words is "one billion, one hundred million, thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 137849 275698 413547 551396 689245 827094 964943 1378490 1654188 1929886 2067735 2619131 2756980 2894829 3859772 4135470 4824715 5238262 5789658 7857393 8270940 9649430 10476524 11579316 13095655 14474145 15714786 18333917 19298860 26191310 28948290 31429572 36667834 39286965 52382620 55001751 57896580 73335668 78573930 91669585 110003502 157147860 183339170 220007004 275008755 366678340 550017510 1100035020