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2124122320 = 24526551529
BaseRepresentation
bin111111010011011…
…1000100011010000
312111000220121001001
41332212320203100
513322233403240
6550435151344
7103431512305
oct17646704320
95430817031
102124122320
119a00145a1
124b3445554
1327b0b5718
141621690ac
15c672e89a
hex7e9b88d0

2124122320 has 20 divisors (see below), whose sum is σ = 4938584580. Its totient is φ = 849648896.

The previous prime is 2124122317. The next prime is 2124122323. The reversal of 2124122320 is 232214212.

It is an interprime number because it is at equal distance from previous prime (2124122317) and next prime (2124122323).

It can be written as a sum of positive squares in 2 ways, for example, as 391564944 + 1732557376 = 19788^2 + 41624^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124122323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13275685 + ... + 13275844.

It is an arithmetic number, because the mean of its divisors is an integer number (246929229).

Almost surely, 22124122320 is an apocalyptic number.

2124122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124122320 is an abundant number, since it is smaller than the sum of its proper divisors (2814462260).

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

2124122320 is a wasteful number, since it uses less digits than its factorization.

2124122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26551542 (or 26551536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2124122320 is about 46088.2015270720. The cubic root of 2124122320 is about 1285.4637699802.

Adding to 2124122320 its reverse (232214212), we get a palindrome (2356336532).

The spelling of 2124122320 in words is "two billion, one hundred twenty-four million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26551529 53103058 106206116 132757645 212412232 265515290 424824464 531030580 1062061160 2124122320