Search a number
-
+
200233010032129 is a prime number
BaseRepresentation
bin101101100001110001100001…
…011011110110111000000001
3222020222002101202010010021101
4231201301201123312320001
5202221104201032012004
61545505435215054401
760114233436025324
oct5541614133667001
9866862352103241
10200233010032129
1158889385110238
121a55a5b9b11401
138795b7945aa39
143763487c087bb
1518237c0513ba4
hexb61c616f6e01

200233010032129 has 2 divisors, whose sum is σ = 200233010032130. Its totient is φ = 200233010032128.

The previous prime is 200233010032057. The next prime is 200233010032219. The reversal of 200233010032129 is 921230010332002.

Together with next prime (200233010032219) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177928387440400 + 22304622591729 = 13338980^2 + 4722777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200233010032129 is a prime.

It is a super-2 number, since 2×2002330100321292 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200233010032097 and 200233010032106.

It is not a weakly prime, because it can be changed into another prime (200233010030129) 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, 100116505016064 + 100116505016065.

It is an arithmetic number, because the mean of its divisors is an integer number (100116505016065).

Almost surely, 2200233010032129 is an apocalyptic number.

It is an amenable number.

200233010032129 is a deficient number, since it is larger than the sum of its proper divisors (1).

200233010032129 is an equidigital number, since it uses as much as digits as its factorization.

200233010032129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 200233010032129 in words is "two hundred trillion, two hundred thirty-three billion, ten million, thirty-two thousand, one hundred twenty-nine".