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312021110000189 is a prime number
BaseRepresentation
bin100011011110010000001001…
…1011011001000101000111101
31111220202221000122012210220102
41012330200103123020220331
5311344123213130001224
63023340304042530445
7122502531656522462
oct10674402333105075
91456687018183812
10312021110000189
1190468456248977
122abb3946506a25
1310514606441975
145709c8bcbd669
1526115b9ba94ae
hex11bc8136c8a3d

312021110000189 has 2 divisors, whose sum is σ = 312021110000190. Its totient is φ = 312021110000188.

The previous prime is 312021110000129. The next prime is 312021110000231. The reversal of 312021110000189 is 981000011120213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301728190605625 + 10292919394564 = 17370325^2 + 3208258^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312021110000189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312021110000129) 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, 156010555000094 + 156010555000095.

It is an arithmetic number, because the mean of its divisors is an integer number (156010555000095).

Almost surely, 2312021110000189 is an apocalyptic number.

It is an amenable number.

312021110000189 is a deficient number, since it is larger than the sum of its proper divisors (1).

312021110000189 is an equidigital number, since it uses as much as digits as its factorization.

312021110000189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 312021110000189 in words is "three hundred twelve trillion, twenty-one billion, one hundred ten million, one hundred eighty-nine", and thus it is an aban number.