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2341003011040 = 2552919324110847
BaseRepresentation
bin100010000100001110101…
…001110010001111100000
322021210112112011122200201
4202010032221302033200
5301323333232323130
64551235242554544
7331063144162561
oct42041651621740
98253475148621
102341003011040
118228a5196171
12319851208a54
1313c9a9198095
148143b492168
1540d6524bbca
hex2210ea723e0

2341003011040 has 192 divisors, whose sum is σ = 5775370191360. Its totient is φ = 895612354560.

The previous prime is 2341003011037. The next prime is 2341003011043. The reversal of 2341003011040 is 401103001432.

It is an interprime number because it is at equal distance from previous prime (2341003011037) and next prime (2341003011043).

It is a junction number, because it is equal to n+sod(n) for n = 2341003010999 and 2341003011017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2341003011043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 215814897 + ... + 215825743.

It is an arithmetic number, because the mean of its divisors is an integer number (30080053080).

Almost surely, 22341003011040 is an apocalyptic number.

2341003011040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2341003011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887685095680).

2341003011040 is an abundant number, since it is smaller than the sum of its proper divisors (3434367180320).

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

2341003011040 is a wasteful number, since it uses less digits than its factorization.

2341003011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11325 (or 11317 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2341003011040 its reverse (401103001432), we get a palindrome (2742106012472).

The spelling of 2341003011040 in words is "two trillion, three hundred forty-one billion, three million, eleven thousand, forty".