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2121431481 = 3213211812
BaseRepresentation
bin111111001110010…
…0111100110111001
312110211211212220100
41332130213212321
513321041301411
6550301350013
7103366604301
oct17634474671
95424755810
102121431481
11999546964
124b2568309
1327a682a00
14161a68601
15c639c456
hex7e7279b9

2121431481 has 27 divisors (see below), whose sum is σ = 3320948397. Its totient is φ = 1304390880.

The previous prime is 2121431449. The next prime is 2121431503. The reversal of 2121431481 is 1841341212.

The square root of 2121431481 is 46059.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 22325625 + 2099105856 = 4725^2 + 45816^2 .

It is not a de Polignac number, because 2121431481 - 25 = 2121431449 is a prime.

It is a super-2 number, since 2×21214314812 = 9000943057155706722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121431281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1795711 + ... + 1796891.

Almost surely, 22121431481 is an apocalyptic number.

2121431481 is the 46059-th square number.

2121431481 is the 23030-th centered octagonal number.

It is an amenable number.

2121431481 is a deficient number, since it is larger than the sum of its proper divisors (1199516916).

2121431481 is an equidigital number, since it uses as much as digits as its factorization.

2121431481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 1197 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The cubic root of 2121431481 is about 1284.9207319370.

Adding to 2121431481 its reverse (1841341212), we get a palindrome (3962772693).

The spelling of 2121431481 in words is "two billion, one hundred twenty-one million, four hundred thirty-one thousand, four hundred eighty-one".

Divisors: 1 3 9 13 39 117 169 507 1181 1521 3543 10629 15353 46059 138177 199589 598767 1394761 1796301 4184283 12552849 18131893 54395679 163187037 235714609 707143827 2121431481