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2001122320 = 245239310453
BaseRepresentation
bin111011101000110…
…1011010000010000
312011110110112202111
41313101223100100
513044241403240
6530322555104
7100406154601
oct16721532020
95143415674
102001122320
119376438aa
1247a208a94
1325b77b162
1414daabda8
15baa351ea
hex7746b410

2001122320 has 40 divisors (see below), whose sum is σ = 4654998936. Its totient is φ = 800037888.

The previous prime is 2001122303. The next prime is 2001122327. The reversal of 2001122320 is 232211002.

It can be written as a sum of positive squares in 4 ways, for example, as 204718864 + 1796403456 = 14308^2 + 42384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2001122320.

It is not an unprimeable number, because it can be changed into a prime (2001122327) 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, 186214 + ... + 196666.

Almost surely, 22001122320 is an apocalyptic number.

2001122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001122320 is an abundant number, since it is smaller than the sum of its proper divisors (2653876616).

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

2001122320 is a wasteful number, since it uses less digits than its factorization.

2001122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12859 (or 12853 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2001122320 is about 44733.9057092045. The cubic root of 2001122320 is about 1260.1566782574.

Adding to 2001122320 its reverse (232211002), we get a palindrome (2233333322).

The spelling of 2001122320 in words is "two billion, one million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2393 4786 9572 10453 11965 19144 20906 23930 38288 41812 47860 52265 83624 95720 104530 167248 191440 209060 418120 836240 25014029 50028058 100056116 125070145 200112232 250140290 400224464 500280580 1000561160 2001122320