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11020211020 = 22571310358787
BaseRepresentation
bin10100100001101101…
…10001001101001100
31001110000110201112201
422100312301031030
5140032133223040
65021305211244
7540043151050
oct122066611514
931400421481
1011020211020
114745692715
122176790b24
131068182b30
14767851c60
15447732a9a
hex290db134c

11020211020 has 96 divisors (see below), whose sum is σ = 28760030208. Its totient is φ = 3453795072.

The previous prime is 11020210979. The next prime is 11020211021. The reversal of 11020211020 is 2011202011.

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 = 11020210988 and 11020211006.

It is not an unprimeable number, because it can be changed into a prime (11020211021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158067 + ... + 216853.

It is an arithmetic number, because the mean of its divisors is an integer number (299583648).

Almost surely, 211020211020 is an apocalyptic number.

11020211020 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 11020211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14380015104).

11020211020 is an abundant number, since it is smaller than the sum of its proper divisors (17739819188).

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

11020211020 is a wasteful number, since it uses less digits than its factorization.

11020211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58919 (or 58917 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11020211020 its reverse (2011202011), we get a palindrome (13031413031).

Subtracting from 11020211020 its reverse (2011202011), we obtain a palindrome (9009009009).

The spelling of 11020211020 in words is "eleven billion, twenty million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 103 130 140 182 206 260 364 412 455 515 721 910 1030 1339 1442 1820 2060 2678 2884 3605 5356 6695 7210 9373 13390 14420 18746 26780 37492 46865 58787 93730 117574 187460 235148 293935 411509 587870 764231 823018 1175740 1528462 1646036 2057545 3056924 3821155 4115090 5349617 6055061 7642310 8230180 10699234 12110122 15284620 21398468 24220244 26748085 30275305 42385427 53496170 60550610 78715793 84770854 106992340 121101220 157431586 169541708 211927135 314863172 393578965 423854270 551010551 787157930 847708540 1102021102 1574315860 2204042204 2755052755 5510105510 11020211020