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10332214314133 is a prime number
BaseRepresentation
bin1001011001011010011111…
…1101101100010010010101
31100120202020210001222220011
42112112213331230102111
52323240333331023013
633550315334440221
72114322621413065
oct226264775542225
940522223058804
1010332214314133
11332395a690328
1211aa551803071
1359c429022c6a
1427a1208013a5
1512db70823c3d
hex965a7f6c495

10332214314133 has 2 divisors, whose sum is σ = 10332214314134. Its totient is φ = 10332214314132.

The previous prime is 10332214314041. The next prime is 10332214314137. The reversal of 10332214314133 is 33141341223301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8610222125124 + 1721992189009 = 2934318^2 + 1312247^2 .

It is a cyclic number.

It is not a de Polignac number, because 10332214314133 - 225 = 10332180759701 is a prime.

It is a super-3 number, since 3×103322143141333 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10332214314095 and 10332214314104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10332214314137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5166107157066 + 5166107157067.

It is an arithmetic number, because the mean of its divisors is an integer number (5166107157067).

Almost surely, 210332214314133 is an apocalyptic number.

It is an amenable number.

10332214314133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10332214314133 is an equidigital number, since it uses as much as digits as its factorization.

10332214314133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 10332214314133 its reverse (33141341223301), we get a palindrome (43473555537434).

The spelling of 10332214314133 in words is "ten trillion, three hundred thirty-two billion, two hundred fourteen million, three hundred fourteen thousand, one hundred thirty-three".