Search a number
-
+
332212013000213 is a prime number
BaseRepresentation
bin100101110001001010010001…
…1000001100110011000010101
31121120021011021101100112002112
41023202110203001212120111
5322020430200312001323
63134320031502520405
7126655345243351523
oct11342244301463025
91546234241315075
10332212013000213
1196942361653405
1231314ab6b96105
131134a5c6161438
145c0720bd97313
1528618e4527178
hex12e2523066615

332212013000213 has 2 divisors, whose sum is σ = 332212013000214. Its totient is φ = 332212013000212.

The previous prime is 332212013000201. The next prime is 332212013000227. The reversal of 332212013000213 is 312000310212233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331082515922929 + 1129497077284 = 18195673^2 + 1062778^2 .

It is a cyclic number.

It is not a de Polignac number, because 332212013000213 - 218 = 332212012738069 is a prime.

It is a super-2 number, since 2×3322120130002132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332212013090213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166106006500106 + 166106006500107.

It is an arithmetic number, because the mean of its divisors is an integer number (166106006500107).

Almost surely, 2332212013000213 is an apocalyptic number.

It is an amenable number.

332212013000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

332212013000213 is an equidigital number, since it uses as much as digits as its factorization.

332212013000213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 332212013000213 its reverse (312000310212233), we get a palindrome (644212323212446).

The spelling of 332212013000213 in words is "three hundred thirty-two trillion, two hundred twelve billion, thirteen million, two hundred thirteen", and thus it is an aban number.