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1021130220 = 2235113374591
BaseRepresentation
bin111100110111010…
…011010111101100
32122011102210022210
4330313103113230
54042402131340
6245154210420
734206315015
oct7467232754
92564383283
101021130220
11484446280
12245b83a10
13133727b86
149988c00c
155e9a7180
hex3cdd35ec

1021130220 has 96 divisors (see below), whose sum is σ = 3129025536. Its totient is φ = 246758400.

The previous prime is 1021130219. The next prime is 1021130233. The reversal of 1021130220 is 220311201.

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 = 1021130196 and 1021130205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220125 + ... + 224715.

It is an arithmetic number, because the mean of its divisors is an integer number (32594016).

Almost surely, 21021130220 is an apocalyptic number.

1021130220 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 1021130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564512768).

1021130220 is an abundant number, since it is smaller than the sum of its proper divisors (2107895316).

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

1021130220 is a wasteful number, since it uses less digits than its factorization.

1021130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1021130220 is about 31955.1282269372. The cubic root of 1021130220 is about 1006.9943713779.

Adding to 1021130220 its reverse (220311201), we get a palindrome (1241441421).

The spelling of 1021130220 in words is "one billion, twenty-one million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 337 660 674 1011 1348 1685 2022 3370 3707 4044 4591 5055 6740 7414 9182 10110 11121 13773 14828 18364 18535 20220 22242 22955 27546 37070 44484 45910 50501 55092 55605 68865 74140 91820 101002 111210 137730 151503 202004 222420 252505 275460 303006 505010 606012 757515 1010020 1515030 1547167 3030060 3094334 4641501 6188668 7735835 9283002 15471670 17018837 18566004 23207505 30943340 34037674 46415010 51056511 68075348 85094185 92830020 102113022 170188370 204226044 255282555 340376740 510565110 1021130220