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10300220330031 = 34127163213951
BaseRepresentation
bin1001010111100011010011…
…1110010101000000101111
31100110200200001202012120000
42111320310332111000233
52322224322401030111
633523504512355343
72112111030136362
oct225706476250057
940420601665500
1010300220330031
113311331939555
1211a4302b45b53
135993ca80bb18
142787676260d9
1512cdebb24c56
hex95e34f9502f

10300220330031 has 10 divisors (see below), whose sum is σ = 15386748888192. Its totient is φ = 6866813553300.

The previous prime is 10300220330011. The next prime is 10300220330041. The reversal of 10300220330031 is 13003302200301.

10300220330031 is a `hidden beast` number, since 1 + 0 + 300 + 2 + 2 + 0 + 330 + 0 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10300220330031 is a prime.

It is a super-2 number, since 2×103002203300312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10300220329986 and 10300220330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300220330011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63581606895 + ... + 63581607056.

Almost surely, 210300220330031 is an apocalyptic number.

10300220330031 is a deficient number, since it is larger than the sum of its proper divisors (5086528558161).

10300220330031 is an equidigital number, since it uses as much as digits as its factorization.

10300220330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127163213963 (or 127163213954 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10300220330031 its reverse (13003302200301), we get a palindrome (23303522530332).

The spelling of 10300220330031 in words is "ten trillion, three hundred billion, two hundred twenty million, three hundred thirty thousand, thirty-one".

Divisors: 1 3 9 27 81 127163213951 381489641853 1144468925559 3433406776677 10300220330031