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2120412424 = 231325779333
BaseRepresentation
bin111111001100010…
…1110110100001000
312110202221010000111
41332120232310020
513320311144144
6550223444104
7103355131264
oct17630566410
95422833014
102120412424
11998a10269
124b2156634
1327a3b6c10
141618810a4
15c624a534
hex7e62ed08

2120412424 has 32 divisors (see below), whose sum is σ = 4298316120. Its totient is φ = 974831616.

The previous prime is 2120412419. The next prime is 2120412439. The reversal of 2120412424 is 4242140212.

It can be written as a sum of positive squares in 4 ways, for example, as 1960895524 + 159516900 = 44282^2 + 12630^2 .

It is a super-2 number, since 2×21204124242 = 8992297695707111552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2120412395 and 2120412404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12939 + ... + 66394.

Almost surely, 22120412424 is an apocalyptic number.

It is an amenable number.

2120412424 is an abundant number, since it is smaller than the sum of its proper divisors (2177903696).

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

2120412424 is a wasteful number, since it uses less digits than its factorization.

2120412424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79609 (or 79605 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2120412424 is about 46047.9361535346. The cubic root of 2120412424 is about 1284.7149562304.

Adding to 2120412424 its reverse (4242140212), we get a palindrome (6362552636).

The spelling of 2120412424 in words is "two billion, one hundred twenty million, four hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 257 514 1028 2056 3341 6682 13364 26728 79333 158666 317332 634664 1031329 2062658 4125316 8250632 20388581 40777162 81554324 163108648 265051553 530103106 1060206212 2120412424