Search a number
-
+
103303033120381 is a prime number
BaseRepresentation
bin10111011111010000011100…
…100101111110011001111101
3111112202200011222212022102211
4113133100130211332121331
5102020004102434323011
61003412431441420421
730521253314340403
oct2737203445763175
9445680158768384
10103303033120381
112aa08630101406
12b7049a093a711
134584584cb4323
141b71c719d5473
15be2237b09b21
hex5df41c97e67d

103303033120381 has 2 divisors, whose sum is σ = 103303033120382. Its totient is φ = 103303033120380.

The previous prime is 103303033120349. The next prime is 103303033120471. The reversal of 103303033120381 is 183021330303301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63364943244100 + 39938089876281 = 7960210^2 + 6319659^2 .

It is a cyclic number.

It is not a de Polignac number, because 103303033120381 - 25 = 103303033120349 is a prime.

It is a super-2 number, since 2×1033030331203812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103303033150381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51651516560190 + 51651516560191.

It is an arithmetic number, because the mean of its divisors is an integer number (51651516560191).

Almost surely, 2103303033120381 is an apocalyptic number.

It is an amenable number.

103303033120381 is a deficient number, since it is larger than the sum of its proper divisors (1).

103303033120381 is an equidigital number, since it uses as much as digits as its factorization.

103303033120381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 103303033120381 its reverse (183021330303301), we get a palindrome (286324363423682).

The spelling of 103303033120381 in words is "one hundred three trillion, three hundred three billion, thirty-three million, one hundred twenty thousand, three hundred eighty-one".