Search a number
-
+
10133020212401 is a prime number
BaseRepresentation
bin1001001101110100011100…
…0100011111110010110001
31022212201002121020011222202
42103131013010133302301
52312004411133244101
633315013433512545
72064041454446522
oct223350704376261
938781077204882
1010133020212401
113257431819459
121177a1bb72755
13586702970588
14270625782849
151288b2ede36b
hex9374711fcb1

10133020212401 has 2 divisors, whose sum is σ = 10133020212402. Its totient is φ = 10133020212400.

The previous prime is 10133020212373. The next prime is 10133020212533. The reversal of 10133020212401 is 10421202033101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8643888122401 + 1489132090000 = 2940049^2 + 1220300^2 .

It is an emirp because it is prime and its reverse (10421202033101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10133020212401 - 238 = 9858142305457 is a prime.

It is not a weakly prime, because it can be changed into another prime (10133020212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066510106200 + 5066510106201.

It is an arithmetic number, because the mean of its divisors is an integer number (5066510106201).

Almost surely, 210133020212401 is an apocalyptic number.

It is an amenable number.

10133020212401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133020212401 is an equidigital number, since it uses as much as digits as its factorization.

10133020212401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10133020212401 its reverse (10421202033101), we get a palindrome (20554222245502).

The spelling of 10133020212401 in words is "ten trillion, one hundred thirty-three billion, twenty million, two hundred twelve thousand, four hundred one".