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2122121320 = 235114823003
BaseRepresentation
bin111111001111101…
…0000000001101000
312110220010221011221
41332133100001220
513321230340240
6550324231424
7103405506424
oct17637200150
95426127157
102122121320
11999978180
124b283b574
1327a8649b7
14161ba7b84
15c6486a4a
hex7e7d0068

2122121320 has 32 divisors (see below), whose sum is σ = 5208844320. Its totient is φ = 771680320.

The previous prime is 2122121303. The next prime is 2122121321. The reversal of 2122121320 is 231212212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2122121294 and 2122121303.

It is not an unprimeable number, because it can be changed into a prime (2122121321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2411062 + ... + 2411941.

It is an arithmetic number, because the mean of its divisors is an integer number (162776385).

Almost surely, 22122121320 is an apocalyptic number.

2122121320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122121320 is an abundant number, since it is smaller than the sum of its proper divisors (3086723000).

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

2122121320 is a wasteful number, since it uses less digits than its factorization.

2122121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823025 (or 4823021 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2122121320 is about 46066.4880363155. The cubic root of 2122121320 is about 1285.0599920514.

Adding to 2122121320 its reverse (231212212), we get a palindrome (2353333532).

The spelling of 2122121320 in words is "two billion, one hundred twenty-two million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 4823003 9646006 19292012 24115015 38584024 48230030 53053033 96460060 106106066 192920120 212212132 265265165 424424264 530530330 1061060660 2122121320