Search a number
-
+
1033444123381 is a prime number
BaseRepresentation
bin11110000100111100001…
…00011110001011110101
310122210111111102220221101
433002132010132023311
5113412443143422011
62110431354050101
7134443465052635
oct17023604361365
93583444386841
101033444123381
113693102a188a
12148356419931
13765b8065067
143803a0666c5
151bd379112c1
hexf09e11e2f5

1033444123381 has 2 divisors, whose sum is σ = 1033444123382. Its totient is φ = 1033444123380.

The previous prime is 1033444123273. The next prime is 1033444123399. The reversal of 1033444123381 is 1833214443301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 987032315025 + 46411808356 = 993495^2 + 215434^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033444123381 - 237 = 896005169909 is a prime.

It is a super-2 number, since 2×10334441233812 (a number of 25 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 1033444123381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033444123081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516722061690 + 516722061691.

It is an arithmetic number, because the mean of its divisors is an integer number (516722061691).

Almost surely, 21033444123381 is an apocalyptic number.

It is an amenable number.

1033444123381 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033444123381 is an equidigital number, since it uses as much as digits as its factorization.

1033444123381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 37.

Adding to 1033444123381 its reverse (1833214443301), we get a palindrome (2866658566682).

The spelling of 1033444123381 in words is "one trillion, thirty-three billion, four hundred forty-four million, one hundred twenty-three thousand, three hundred eighty-one".