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2313103166640 = 24325729711371627
BaseRepresentation
bin100001101010001111101…
…100010100110010110000
322012010112010200201012100
4201222033230110302300
5300344213402313030
64530342552300400
7326054565336420
oct41521754246260
98163463621170
102313103166640
11811a88487122
123143656a1700
1313a180c46906
147dd51d34480
1540280bbb360
hex21a8fb14cb0

2313103166640 has 960 divisors, whose sum is σ = 9387144898560. Its totient is φ = 499307397120.

The previous prime is 2313103166639. The next prime is 2313103166653. The reversal of 2313103166640 is 466613013132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2313103166595 and 2313103166604.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1421697507 + ... + 1421699133.

It is an arithmetic number, because the mean of its divisors is an integer number (9778275936).

Almost surely, 22313103166640 is an apocalyptic number.

2313103166640 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 2313103166640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693572449280).

2313103166640 is an abundant number, since it is smaller than the sum of its proper divisors (7074041731920).

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

2313103166640 is a wasteful number, since it uses less digits than its factorization.

2313103166640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 2313103166640 its reverse (466613013132), we get a palindrome (2779716179772).

The spelling of 2313103166640 in words is "two trillion, three hundred thirteen billion, one hundred three million, one hundred sixty-six thousand, six hundred forty".