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2122401143140 = 225412588294077
BaseRepresentation
bin11110111000101000111…
…101110101100101100100
321111220021210012011121221
4132320220331311211210
5234233134143040030
64303003450150124
7306224036024545
oct36705075654544
97456253164557
102122401143140
11749118129323
122a3403a22344
131251ac0477a5
1474a20a724cc
153a31db82e7a
hex1ee28f75964

2122401143140 has 24 divisors (see below), whose sum is σ = 4565750753592. Its totient is φ = 828254104320.

The previous prime is 2122401143119. The next prime is 2122401143153. The reversal of 2122401143140 is 413411042212.

It can be written as a sum of positive squares in 4 ways, for example, as 58909114944 + 2063492028196 = 242712^2 + 1436486^2 .

It is a super-2 number, since 2×21224011431402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1294146219 + ... + 1294147858.

It is an arithmetic number, because the mean of its divisors is an integer number (190239614733).

Almost surely, 22122401143140 is an apocalyptic number.

2122401143140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122401143140 is an abundant number, since it is smaller than the sum of its proper divisors (2443349610452).

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

2122401143140 is a wasteful number, since it uses less digits than its factorization.

2122401143140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588294127 (or 2588294125 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2122401143140 its reverse (413411042212), we get a palindrome (2535812185352).

The spelling of 2122401143140 in words is "two trillion, one hundred twenty-two billion, four hundred one million, one hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 2588294077 5176588154 10353176308 12941470385 25882940770 51765881540 106120057157 212240114314 424480228628 530600285785 1061200571570 2122401143140