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2211201020 = 225731350461
BaseRepresentation
bin1000001111001100…
…0011111111111100
312201002202122120002
42003303003333330
514012031413040
61003225413432
7105536620130
oct20363037774
95632678502
102211201020
11a35190066
1251863a278
13293153a92
1416d9553c0
15ce1d0a15
hex83cc3ffc

2211201020 has 48 divisors (see below), whose sum is σ = 5323942848. Its totient is φ = 755688960.

The previous prime is 2211200987. The next prime is 2211201023. The reversal of 2211201020 is 201021122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2211200992 and 2211201010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211201023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18590 + ... + 69050.

It is an arithmetic number, because the mean of its divisors is an integer number (110915476).

Almost surely, 22211201020 is an apocalyptic number.

2211201020 is a gapful number since it is divisible by the number (20) 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 2211201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661971424).

2211201020 is an abundant number, since it is smaller than the sum of its proper divisors (3112741828).

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

2211201020 is a wasteful number, since it uses less digits than its factorization.

2211201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50790 (or 50788 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2211201020 is about 47023.4092766571. The cubic root of 2211201020 is about 1302.7949766818.

Adding to 2211201020 its reverse (201021122), we get a palindrome (2412222142).

The spelling of 2211201020 in words is "two billion, two hundred eleven million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 313 626 1252 1565 2191 3130 4382 6260 8764 10955 21910 43820 50461 100922 201844 252305 353227 504610 706454 1009220 1412908 1766135 3532270 7064540 15794293 31588586 63177172 78971465 110560051 157942930 221120102 315885860 442240204 552800255 1105600510 2211201020