Search a number
-
+
33713434141 is a prime number
BaseRepresentation
bin11111011001011110…
…100010111000011101
310020000112202220100221
4133121132202320131
51023021114343031
623253203521341
72302310314312
oct373136427035
9106015686327
1033713434141
111333039a072
12664a689251
1332438106ca
1418bb6c4d09
15d24b45a11
hex7d97a2e1d

33713434141 has 2 divisors, whose sum is σ = 33713434142. Its totient is φ = 33713434140.

The previous prime is 33713434091. The next prime is 33713434147. The reversal of 33713434141 is 14143431733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17490062500 + 16223371641 = 132250^2 + 127371^2 .

It is a cyclic number.

It is not a de Polignac number, because 33713434141 - 215 = 33713401373 is a prime.

It is a super-2 number, since 2×337134341412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33713434097 and 33713434106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33713434147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16856717070 + 16856717071.

It is an arithmetic number, because the mean of its divisors is an integer number (16856717071).

Almost surely, 233713434141 is an apocalyptic number.

It is an amenable number.

33713434141 is a deficient number, since it is larger than the sum of its proper divisors (1).

33713434141 is an equidigital number, since it uses as much as digits as its factorization.

33713434141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 34.

Adding to 33713434141 its reverse (14143431733), we get a palindrome (47856865874).

The spelling of 33713434141 in words is "thirty-three billion, seven hundred thirteen million, four hundred thirty-four thousand, one hundred forty-one".