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2123311220 = 2251724125913
BaseRepresentation
bin111111010001111…
…0010100001110100
312110222101101102022
41332203302201310
513322031424340
6550405532312
7103421563502
oct17643624164
95428341368
102123311220
1199a610168
124b3114098
1327ab90494
14161dd7672
15c661e3b5
hex7e8f2874

2123311220 has 48 divisors (see below), whose sum is σ = 4741018128. Its totient is φ = 796016640.

The previous prime is 2123311219. The next prime is 2123311231. The reversal of 2123311220 is 221133212.

It can be written as a sum of positive squares in 8 ways, for example, as 146797456 + 1976513764 = 12116^2 + 44458^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 68984 + ... + 94896.

It is an arithmetic number, because the mean of its divisors is an integer number (98771211).

Almost surely, 22123311220 is an apocalyptic number.

2123311220 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 2123311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370509064).

2123311220 is an abundant number, since it is smaller than the sum of its proper divisors (2617706908).

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

2123311220 is a wasteful number, since it uses less digits than its factorization.

2123311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26180 (or 26178 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2123311220 is about 46079.4012547906. The cubic root of 2123311220 is about 1285.3001302511.

Adding to 2123311220 its reverse (221133212), we get a palindrome (2344444432).

The spelling of 2123311220 in words is "two billion, one hundred twenty-three million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 241 340 482 964 1205 2410 4097 4820 8194 16388 20485 25913 40970 51826 81940 103652 129565 259130 440521 518260 881042 1762084 2202605 4405210 6245033 8810420 12490066 24980132 31225165 62450330 106165561 124900660 212331122 424662244 530827805 1061655610 2123311220