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2134422251104 = 25111319187113121
BaseRepresentation
bin11111000011110101011…
…110101110011001100000
321120001022120000201122211
4133003311132232121200
5234432244044013404
64312312352211504
7310130654533543
oct37036536563140
97501276021584
102134422251104
117532267976a0
122a57b9839b94
1312637668cb20
14754413c685a
153a7c41c2b04
hex1f0f57ae660

2134422251104 has 192 divisors, whose sum is σ = 5199788805120. Its totient is φ = 847908864000.

The previous prime is 2134422251083. The next prime is 2134422251113. The reversal of 2134422251104 is 4011522244312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162665664 + ... + 162678784.

It is an arithmetic number, because the mean of its divisors is an integer number (27082233360).

Almost surely, 22134422251104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134422251104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599894402560).

2134422251104 is an abundant number, since it is smaller than the sum of its proper divisors (3065366554016).

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

2134422251104 is a wasteful number, since it uses less digits than its factorization.

2134422251104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15045 (or 15037 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 2134422251104 its reverse (4011522244312), we get a palindrome (6145944495416).

The spelling of 2134422251104 in words is "two trillion, one hundred thirty-four billion, four hundred twenty-two million, two hundred fifty-one thousand, one hundred four".