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1021122220 = 225416531907
BaseRepresentation
bin111100110111010…
…001011010101100
32122011102101100111
4330313101122230
54042401402340
6245154105404
734206252466
oct7467213254
92564371314
101021122220
11484440268
12245b7b264
13133724341
1499889136
155e9a4aea
hex3cdd16ac

1021122220 has 48 divisors (see below), whose sum is σ = 2201175648. Its totient is φ = 397667840.

The previous prime is 1021122209. The next prime is 1021122251. The reversal of 1021122220 is 222211201.

It is a happy number.

It is a super-3 number, since 3×10211222203 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1021122220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534507 + ... + 536413.

It is an arithmetic number, because the mean of its divisors is an integer number (45857826).

Almost surely, 21021122220 is an apocalyptic number.

1021122220 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 1021122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100587824).

1021122220 is an abundant number, since it is smaller than the sum of its proper divisors (1180053428).

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

1021122220 is a wasteful number, since it uses less digits than its factorization.

1021122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1021122220 is about 31955.0030511656. The cubic root of 1021122220 is about 1006.9917416200.

Adding to 1021122220 its reverse (222211201), we get a palindrome (1243333421).

The spelling of 1021122220 in words is "one billion, twenty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 653 820 1306 1907 2612 3265 3814 6530 7628 9535 13060 19070 26773 38140 53546 78187 107092 133865 156374 267730 312748 390935 535460 781870 1245271 1563740 2490542 4981084 6226355 12452710 24905420 51056111 102112222 204224444 255280555 510561110 1021122220