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20213402401 = 375091073297
BaseRepresentation
bin10010110100110100…
…000000101100100001
31221011201002020022101
4102310310000230201
5312344112334101
613141431210401
71313623041223
oct226464005441
957151066271
1020213402401
118632a36445
123b01516a01
131ba197534a
14d9a796413
157d4871401
hex4b4d00b21

20213402401 has 8 divisors (see below), whose sum is σ = 20800515240. Its totient is φ = 19628437248.

The previous prime is 20213402369. The next prime is 20213402437. The reversal of 20213402401 is 10420431202.

It can be written as a sum of positive squares in 4 ways, for example, as 17297510400 + 2915892001 = 131520^2 + 53999^2 .

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

It is not a de Polignac number, because 20213402401 - 25 = 20213402369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20213402701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517816 + ... + 555481.

It is an arithmetic number, because the mean of its divisors is an integer number (2600064405).

Almost surely, 220213402401 is an apocalyptic number.

It is an amenable number.

20213402401 is a deficient number, since it is larger than the sum of its proper divisors (587112839).

20213402401 is a wasteful number, since it uses less digits than its factorization.

20213402401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073843.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20213402401 its reverse (10420431202), we get a palindrome (30633833603).

The spelling of 20213402401 in words is "twenty billion, two hundred thirteen million, four hundred two thousand, four hundred one".

Divisors: 1 37 509 18833 1073297 39711989 546308173 20213402401