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2120211504 = 24334907897
BaseRepresentation
bin111111001011111…
…1101110000110000
312110202112220102000
41332113331300300
513320233232004
6550215254000
7103353333435
oct17627756060
95422486360
102120211504
11998893314
124b207a300
1327a346628
1416182bb8c
15c620ac39
hex7e5fdc30

2120211504 has 40 divisors (see below), whose sum is σ = 6085793520. Its totient is φ = 706737024.

The previous prime is 2120211487. The next prime is 2120211529. The reversal of 2120211504 is 4051120212.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 7 ways as a sum of consecutive naturals, for example, 2453517 + ... + 2454380.

It is an arithmetic number, because the mean of its divisors is an integer number (152144838).

Almost surely, 22120211504 is an apocalyptic number.

2120211504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2120211504 is an abundant number, since it is smaller than the sum of its proper divisors (3965582016).

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

2120211504 is a wasteful number, since it uses less digits than its factorization.

2120211504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4907914 (or 4907902 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2120211504 is about 46045.7544622737. The cubic root of 2120211504 is about 1284.6743771620.

Adding to 2120211504 its reverse (4051120212), we get a palindrome (6171331716).

The spelling of 2120211504 in words is "two billion, one hundred twenty million, two hundred eleven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 4907897 9815794 14723691 19631588 29447382 39263176 44171073 58894764 78526352 88342146 117789528 132513219 176684292 235579056 265026438 353368584 530052876 706737168 1060105752 2120211504