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2213011000400 = 24525532527501
BaseRepresentation
bin100000001101000001101…
…111000000110001010000
321211120011112121211122012
4200031001233000301100
5242224221304003100
64412350534002052
7315612322063604
oct40150157006120
97746145554565
102213011000400
11783595020182
122b8a90aa6328
131308bc307245
1479178961504
153c873828135
hex20341bc0c50

2213011000400 has 30 divisors (see below), whose sum is σ = 5316758929422. Its totient is φ = 885204400000.

The previous prime is 2213011000393. The next prime is 2213011000427. The reversal of 2213011000400 is 40001103122.

It can be written as a sum of positive squares in 3 ways, for example, as 263591881744 + 1949419118656 = 513412^2 + 1396216^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2766263351 + ... + 2766264150.

Almost surely, 22213011000400 is an apocalyptic number.

2213011000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213011000400 is an abundant number, since it is smaller than the sum of its proper divisors (3103747929022).

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

2213011000400 is a wasteful number, since it uses less digits than its factorization.

2213011000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5532527519 (or 5532527508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2213011000400 its reverse (40001103122), we get a palindrome (2253012103522).

The spelling of 2213011000400 in words is "two trillion, two hundred thirteen billion, eleven million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5532527501 11065055002 22130110004 27662637505 44260220008 55325275010 88520440016 110650550020 138313187525 221301100040 276626375050 442602200080 553252750100 1106505500200 2213011000400