Search a number
-
+
332123117 is a prime number
BaseRepresentation
bin10011110010111…
…100101111101101
3212010221121021012
4103302330233231
51140010414432
652542315005
711141666654
oct2362745755
9763847235
10332123117
11160525017
1293288a65
1353a67271
143217619b
151e256cb2
hex13cbcbed

332123117 has 2 divisors, whose sum is σ = 332123118. Its totient is φ = 332123116.

The previous prime is 332123107. The next prime is 332123147. The reversal of 332123117 is 711321233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331749796 + 373321 = 18214^2 + 611^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332123117 is a prime.

It is a super-3 number, since 3×3321231173 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 332123092 and 332123101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332123107) 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, 166061558 + 166061559.

It is an arithmetic number, because the mean of its divisors is an integer number (166061559).

Almost surely, 2332123117 is an apocalyptic number.

It is an amenable number.

332123117 is a deficient number, since it is larger than the sum of its proper divisors (1).

332123117 is an equidigital number, since it uses as much as digits as its factorization.

332123117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 23.

The square root of 332123117 is about 18224.2453067336. The cubic root of 332123117 is about 692.5211396450.

The spelling of 332123117 in words is "three hundred thirty-two million, one hundred twenty-three thousand, one hundred seventeen".