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2125335212 = 22721113219307
BaseRepresentation
bin111111010101110…
…0000101010101100
312111010012012210222
41332223200222230
513323041211322
6550521150512
7103445023400
oct17653405254
95433165728
102125335212
119a0772890
124b392b438
1327b41b800
141623a3100
15c68bde42
hex7eae0aac

2125335212 has 216 divisors, whose sum is σ = 5397416640. Its totient is φ = 721768320.

The previous prime is 2125335203. The next prime is 2125335239.

It is a happy number.

2125335212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6922763 + ... + 6923069.

It is an arithmetic number, because the mean of its divisors is an integer number (24988040).

Almost surely, 22125335212 is an apocalyptic number.

2125335212 is a gapful number since it is divisible by the number (22) 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 2125335212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698708320).

2125335212 is an abundant number, since it is smaller than the sum of its proper divisors (3272081428).

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

2125335212 is a wasteful number, since it uses less digits than its factorization.

2125335212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 359 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 2125335212 is about 46101.3580277197. The cubic root of 2125335212 is about 1285.7083936920.

It can be divided in two parts, 21253 and 35212, that added together give a palindrome (56465).

The spelling of 2125335212 in words is "two billion, one hundred twenty-five million, three hundred thirty-five thousand, two hundred twelve".