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2120135472 = 243471317977
BaseRepresentation
bin111111001011110…
…1011001100110000
312110202102001010000
41332113223030300
513320223313342
6550213510000
7103352565660
oct17627531460
95422361100
102120135472
11998841184
124b2042300
1327a31ab40
1416180c1a0
15c61e344c
hex7e5eb330

2120135472 has 200 divisors, whose sum is σ = 7552773536. Its totient is φ = 559125504.

The previous prime is 2120135389. The next prime is 2120135491. The reversal of 2120135472 is 2745310212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108948 + ... + 126924.

Almost surely, 22120135472 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 2120135472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776386768).

2120135472 is an abundant number, since it is smaller than the sum of its proper divisors (5432638064).

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

2120135472 is a wasteful number, since it uses less digits than its factorization.

2120135472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18017 (or 18002 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2120135472 is about 46044.9288412959. The cubic root of 2120135472 is about 1284.6590205919.

Adding to 2120135472 its reverse (2745310212), we get a palindrome (4865445684).

The spelling of 2120135472 in words is "two billion, one hundred twenty million, one hundred thirty-five thousand, four hundred seventy-two".