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2400320131341 = 311811121373939
BaseRepresentation
bin100010111011011110001…
…110101001000100001101
322111110122102210120121020
4202323132032221010031
5303311323423200331
65034405234424353
7335263112322426
oct42733616510415
98443572716536
102400320131341
11845a74157640
123292464320b9
131454702cb632
148426738664d
1542687a5ec96
hex22ede3a910d

2400320131341 has 32 divisors (see below), whose sum is σ = 3498608924160. Its totient is φ = 1451728267200.

The previous prime is 2400320131337. The next prime is 2400320131373. The reversal of 2400320131341 is 1431310230042.

It is a happy number.

2400320131341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2400320131341 - 22 = 2400320131337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400320131301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32426550 + ... + 32500488.

It is an arithmetic number, because the mean of its divisors is an integer number (109331528880).

Almost surely, 22400320131341 is an apocalyptic number.

It is an amenable number.

2400320131341 is a deficient number, since it is larger than the sum of its proper divisors (1098288792819).

2400320131341 is a wasteful number, since it uses less digits than its factorization.

2400320131341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75977.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2400320131341 its reverse (1431310230042), we get a palindrome (3831630361383).

The spelling of 2400320131341 in words is "two trillion, four hundred billion, three hundred twenty million, one hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 11 33 811 1213 2433 3639 8921 13343 26763 40029 73939 221817 813329 983743 2439987 2951229 10821173 32463519 59964529 89688007 179893587 269064021 659609819 986568077 1978829457 2959704231 72736973677 218210921031 800106710447 2400320131341