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2122201300 = 225221222013
BaseRepresentation
bin111111001111110…
…0011100011010100
312110220021222220011
41332133203203110
513321240420200
6550330050004
7103406261542
oct17637434324
95426258804
102122201300
11999a2227a
124b2879904
1327a89221b
14161bc8d92
15c64a05ba
hex7e7e38d4

2122201300 has 18 divisors (see below), whose sum is σ = 4605177038. Its totient is φ = 848880480.

The previous prime is 2122201259. The next prime is 2122201303. The reversal of 2122201300 is 31022212.

It can be written as a sum of positive squares in 3 ways, for example, as 10982596 + 2111218704 = 3314^2 + 45948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122201303) 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 5 ways as a sum of consecutive naturals, for example, 10610907 + ... + 10611106.

Almost surely, 22122201300 is an apocalyptic number.

2122201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122201300 is an abundant number, since it is smaller than the sum of its proper divisors (2482975738).

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

2122201300 is a wasteful number, since it uses less digits than its factorization.

2122201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21222027 (or 21222020 counting only the distinct ones).

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

The square root of 2122201300 is about 46067.3561212275. The cubic root of 2122201300 is about 1285.0761359301.

Adding to 2122201300 its reverse (31022212), we get a palindrome (2153223512).

The spelling of 2122201300 in words is "two billion, one hundred twenty-two million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21222013 42444026 84888052 106110065 212220130 424440260 530550325 1061100650 2122201300