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2432202410020 = 225121610120501
BaseRepresentation
bin100011011001001010100…
…011111000100000100100
322121111221100221010220111
4203121022203320200210
5304322122304110040
65101201030342404
7340502146242265
oct43311243704044
98544840833814
102432202410020
11858544942489
123334637baa04
131484816310a6
1485a0d7a496c
1543401a45dea
hex2364a8f8824

2432202410020 has 12 divisors (see below), whose sum is σ = 5107625061084. Its totient is φ = 972880964000.

The previous prime is 2432202409997. The next prime is 2432202410047. The reversal of 2432202410020 is 200142022342.

It can be written as a sum of positive squares in 2 ways, for example, as 936199445476 + 1496002964544 = 967574^2 + 1223112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2432202409973 and 2432202410000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60805060231 + ... + 60805060270.

It is an arithmetic number, because the mean of its divisors is an integer number (425635421757).

Almost surely, 22432202410020 is an apocalyptic number.

2432202410020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432202410020 is an abundant number, since it is smaller than the sum of its proper divisors (2675422651064).

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

2432202410020 is a wasteful number, since it uses less digits than its factorization.

2432202410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121610120510 (or 121610120508 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2432202410020 its reverse (200142022342), we get a palindrome (2632344432362).

The spelling of 2432202410020 in words is "two trillion, four hundred thirty-two billion, two hundred two million, four hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 121610120501 243220241002 486440482004 608050602505 1216101205010 2432202410020