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332140303041233 is a prime number
BaseRepresentation
bin100101110000101000111000…
…0110001110100001011010001
31121120000022011210102011110212
41023201101300301310023101
5322013241320034304413
63134223052045333505
7126650226223640651
oct11341216061641321
91546008153364425
10332140303041233
1196914a032068a5
1231303023567295
131134390869154b
145c03968226361
15285eae8c46ca8
hex12e1470c742d1

332140303041233 has 2 divisors, whose sum is σ = 332140303041234. Its totient is φ = 332140303041232.

The previous prime is 332140303041191. The next prime is 332140303041263.

332140303041233 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 323210533495249 + 8929769545984 = 17978057^2 + 2988272^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 332140303041233 - 220 = 332140301992657 is a prime.

It is a super-2 number, since 2×3321403030412332 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332140303041233.

It is not a weakly prime, because it can be changed into another prime (332140303041263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166070151520616 + 166070151520617.

It is an arithmetic number, because the mean of its divisors is an integer number (166070151520617).

Almost surely, 2332140303041233 is an apocalyptic number.

It is an amenable number.

332140303041233 is a deficient number, since it is larger than the sum of its proper divisors (1).

332140303041233 is an equidigital number, since it uses as much as digits as its factorization.

332140303041233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 33214030 and 3041233, that added together give a palindrome (36255263).

The spelling of 332140303041233 in words is "three hundred thirty-two trillion, one hundred forty billion, three hundred three million, forty-one thousand, two hundred thirty-three".