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20150522120000 = 265410112014153
BaseRepresentation
bin1001001010011101010001…
…01101101000011101000000
32122100101000112101110112002
410211032220231220131000
510120121232130320000
6110505004433323132
74146553502645606
oct445165055503500
978311015343462
1020150522120000
116469874460718
1223153811064a8
13b32255a9162c
144d940d0c1876
1524e2646ec8d5
hex1253a8b68740

20150522120000 has 280 divisors, whose sum is σ = 50515643125992. Its totient is φ = 7971840000000.

The previous prime is 20150522119969. The next prime is 20150522120033. The reversal of 20150522120000 is 2122505102.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 18296698271296 + 1853823848704 = 4277464^2 + 1361552^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4852037924 + ... + 4852042076.

Almost surely, 220150522120000 is an apocalyptic number.

20150522120000 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 20150522120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25257821562996).

20150522120000 is an abundant number, since it is smaller than the sum of its proper divisors (30365121005992).

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

20150522120000 is a wasteful number, since it uses less digits than its factorization.

20150522120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 20150522120000 its reverse (2122505102), we get a palindrome (20152644625102).

The spelling of 20150522120000 in words is "twenty trillion, one hundred fifty billion, five hundred twenty-two million, one hundred twenty thousand".