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212133103025231 is a prime number
BaseRepresentation
bin110000001110111100010110…
…010000000011110001001111
31000211002201121200112102101002
4300032330112100003301033
5210301042043333301411
62031100334023210515
762453053022352263
oct6016742620036117
91024081550472332
10212133103025231
11616571643a5043
121b960996ba6a3b
13914a0b169a29b
143a55422c520a3
15197d10746833b
hexc0ef16403c4f

212133103025231 has 2 divisors, whose sum is σ = 212133103025232. Its totient is φ = 212133103025230.

The previous prime is 212133103025213. The next prime is 212133103025281. The reversal of 212133103025231 is 132520301331212.

Together with previous prime (212133103025213) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212133103025231 is a prime.

It is a super-3 number, since 3×2121331030252313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 212133103025194 and 212133103025203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212133103025281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106066551512615 + 106066551512616.

It is an arithmetic number, because the mean of its divisors is an integer number (106066551512616).

Almost surely, 2212133103025231 is an apocalyptic number.

212133103025231 is a deficient number, since it is larger than the sum of its proper divisors (1).

212133103025231 is an equidigital number, since it uses as much as digits as its factorization.

212133103025231 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 212133103025231 its reverse (132520301331212), we get a palindrome (344653404356443).

The spelling of 212133103025231 in words is "two hundred twelve trillion, one hundred thirty-three billion, one hundred three million, twenty-five thousand, two hundred thirty-one".