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2122021413 = 3217101137321
BaseRepresentation
bin111111001111011…
…0111101000100101
312110212221212010200
41332132313220211
513321214141123
6550322141113
7103404612231
oct17636675045
95425855120
102122021413
1199990a106
124b27b1799
1327a82b395
14161b7d5c1
15c6467143
hex7e7b7a25

2122021413 has 24 divisors (see below), whose sum is σ = 3277601496. Its totient is φ = 1318272000.

The previous prime is 2122021411. The next prime is 2122021417. The reversal of 2122021413 is 3141202212.

It is a happy number.

2122021413 is a `hidden beast` number, since 212 + 20 + 21 + 413 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1601360289 + 520661124 = 40017^2 + 22818^2 .

It is not a de Polignac number, because 2122021413 - 21 = 2122021411 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122021411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53208 + ... + 84113.

It is an arithmetic number, because the mean of its divisors is an integer number (136566729).

Almost surely, 22122021413 is an apocalyptic number.

It is an amenable number.

2122021413 is a deficient number, since it is larger than the sum of its proper divisors (1155580083).

2122021413 is a wasteful number, since it uses less digits than its factorization.

2122021413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137445 (or 137442 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2122021413 is about 46065.4036452520. The cubic root of 2122021413 is about 1285.0398253591.

Adding to 2122021413 its reverse (3141202212), we get a palindrome (5263223625).

The spelling of 2122021413 in words is "two billion, one hundred twenty-two million, twenty-one thousand, four hundred thirteen".

Divisors: 1 3 9 17 51 101 153 303 909 1717 5151 15453 137321 411963 1235889 2334457 7003371 13869421 21010113 41608263 124824789 235780157 707340471 2122021413