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2120516461 = 72521120163
BaseRepresentation
bin111111001100100…
…1000001101101101
312110210010101201201
41332121020031231
513320323011321
6550230005501
7103356043510
oct17631101555
95423111651
102120516461
11998a81448
124b21a6891
1327a42238b
141618aad77
15c626b291
hex7e64836d

2120516461 has 8 divisors (see below), whose sum is σ = 2424428864. Its totient is φ = 1816849440.

The previous prime is 2120516443. The next prime is 2120516473. The reversal of 2120516461 is 1646150212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2120516461 - 211 = 2120514413 is a prime.

It is a super-2 number, since 2×21205164612 = 8993180122743929042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120516861) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 42435 + ... + 77728.

It is an arithmetic number, because the mean of its divisors is an integer number (303053608).

Almost surely, 22120516461 is an apocalyptic number.

It is an amenable number.

2120516461 is a deficient number, since it is larger than the sum of its proper divisors (303912403).

2120516461 is a wasteful number, since it uses less digits than its factorization.

2120516461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122691.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2120516461 is about 46049.0657994275. The cubic root of 2120516461 is about 1284.7359671907.

Adding to 2120516461 its reverse (1646150212), we get a palindrome (3766666673).

The spelling of 2120516461 in words is "two billion, one hundred twenty million, five hundred sixteen thousand, four hundred sixty-one".

Divisors: 1 7 2521 17647 120163 841141 302930923 2120516461