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200100132212801 is a prime number
BaseRepresentation
bin101101011111110101110001…
…010011001101000001000001
3222020111101102021001111200112
4231133311301103031001001
5202211420032321302201
61545324422014201105
760101520546141212
oct5537656123150101
9866441367044615
10200100132212801
1158837a98041927
121a5388b54b3195
1387864912b0342
14375ac8045d409
1518200e4be30bb
hexb5fd714cd041

200100132212801 has 2 divisors, whose sum is σ = 200100132212802. Its totient is φ = 200100132212800.

The previous prime is 200100132212779. The next prime is 200100132213029. The reversal of 200100132212801 is 108212231001002.

200100132212801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125193721000000 + 74906411212801 = 11189000^2 + 8654849^2 .

It is a cyclic number.

It is not a de Polignac number, because 200100132212801 - 238 = 199825254305857 is a prime.

It is not a weakly prime, because it can be changed into another prime (200100132212501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100050066106400 + 100050066106401.

It is an arithmetic number, because the mean of its divisors is an integer number (100050066106401).

Almost surely, 2200100132212801 is an apocalyptic number.

It is an amenable number.

200100132212801 is a deficient number, since it is larger than the sum of its proper divisors (1).

200100132212801 is an equidigital number, since it uses as much as digits as its factorization.

200100132212801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 200100132212801 its reverse (108212231001002), we get a palindrome (308312363213803).

The spelling of 200100132212801 in words is "two hundred trillion, one hundred billion, one hundred thirty-two million, two hundred twelve thousand, eight hundred one".