Search a number
-
+
972953000431 is a prime number
BaseRepresentation
bin11100010100010001000…
…01001001100111101111
310110000100202201111011021
432022020201021213233
5111420101432003211
62022545103235011
7130202453022616
oct16121041114757
93400322644137
10972953000431
11345699670895
12138693ba8a67
1370997940499
143513c28c87d
151a496eea771
hexe2888499ef

972953000431 has 2 divisors, whose sum is σ = 972953000432. Its totient is φ = 972953000430.

The previous prime is 972953000423. The next prime is 972953000489. The reversal of 972953000431 is 134000359279.

It is a weak prime.

It is an emirp because it is prime and its reverse (134000359279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 972953000431 - 23 = 972953000423 is a prime.

It is a super-2 number, since 2×9729530004312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972953000401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486476500215 + 486476500216.

It is an arithmetic number, because the mean of its divisors is an integer number (486476500216).

Almost surely, 2972953000431 is an apocalyptic number.

972953000431 is a deficient number, since it is larger than the sum of its proper divisors (1).

972953000431 is an equidigital number, since it uses as much as digits as its factorization.

972953000431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 43.

The spelling of 972953000431 in words is "nine hundred seventy-two billion, nine hundred fifty-three million, four hundred thirty-one", and thus it is an aban number.