Search a number
-
+
11033000020 = 22571492392213
BaseRepresentation
bin10100100011001111…
…00011100001010100
31001110220112110202101
422101213203201110
5140043422000040
65022443251444
7540256644550
oct122147434124
931426473671
1011033000020
114751928239
12217ab19b84
13106aa0cca3
14769420860
1544890c09a
hex2919e3854

11033000020 has 96 divisors (see below), whose sum is σ = 26780544000. Its totient is φ = 3739943424.

The previous prime is 11032999997. The next prime is 11033000053. The reversal of 11033000020 is 2000033011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11032999970 and 11033000006.

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, 4984434 + ... + 4986646.

It is an arithmetic number, because the mean of its divisors is an integer number (278964000).

Almost surely, 211033000020 is an apocalyptic number.

11033000020 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 11033000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390272000).

11033000020 is an abundant number, since it is smaller than the sum of its proper divisors (15747543980).

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

11033000020 is a wasteful number, since it uses less digits than its factorization.

11033000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 11033000020 its reverse (2000033011), we get a palindrome (13033033031).

The spelling of 11033000020 in words is "eleven billion, thirty-three million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 149 239 298 478 596 745 956 1043 1195 1490 1673 2086 2213 2390 2980 3346 4172 4426 4780 5215 6692 8365 8852 10430 11065 15491 16730 20860 22130 30982 33460 35611 44260 61964 71222 77455 142444 154910 178055 249277 309820 329737 356110 498554 528907 659474 712220 997108 1057814 1246385 1318948 1648685 2115628 2308159 2492770 2644535 3297370 3702349 4616318 4985540 5289070 6594740 7404698 9232636 10578140 11540795 14809396 18511745 23081590 37023490 46163180 74046980 78807143 157614286 315228572 394035715 551650001 788071430 1103300002 1576142860 2206600004 2758250005 5516500010 11033000020