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2421022013 is a prime number
BaseRepresentation
bin1001000001001101…
…1101110100111101
320020201120122211222
42100103131310331
514424240201023
61040122523125
7113665230134
oct22023356475
96221518758
102421022013
111032670743
125769664a5
132c7769307
1418d77291b
15e2829cc8
hex904ddd3d

2421022013 has 2 divisors, whose sum is σ = 2421022014. Its totient is φ = 2421022012.

The previous prime is 2421022001. The next prime is 2421022057. The reversal of 2421022013 is 3102201242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1383988804 + 1037033209 = 37202^2 + 32203^2 .

It is a cyclic number.

It is not a de Polignac number, because 2421022013 - 222 = 2416827709 is a prime.

It is a super-2 number, since 2×24210220132 = 11722695174861144338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2421021982 and 2421022000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2421022063) 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 as a sum of consecutive naturals, namely, 1210511006 + 1210511007.

It is an arithmetic number, because the mean of its divisors is an integer number (1210511007).

Almost surely, 22421022013 is an apocalyptic number.

It is an amenable number.

2421022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2421022013 is an equidigital number, since it uses as much as digits as its factorization.

2421022013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2421022013 is about 49203.8820927780. The cubic root of 2421022013 is about 1342.7636607730.

Adding to 2421022013 its reverse (3102201242), we get a palindrome (5523223255).

The spelling of 2421022013 in words is "two billion, four hundred twenty-one million, twenty-two thousand, thirteen".