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10300011113 = 729311636741
BaseRepresentation
bin10011001011110110…
…11011001001101001
3222120211021210000002
421211323123021221
5132043300323423
64422020552345
7513146435630
oct114573331151
928524253002
1010300011113
1144060a6887
121bb55526b5
13c81bc0342
146d9d3a517
154043c0228
hex265edb269

10300011113 has 16 divisors (see below), whose sum is σ = 12570178560. Its totient is φ = 8249169600.

The previous prime is 10300011107. The next prime is 10300011143. The reversal of 10300011113 is 31111000301.

It is a happy number.

It is not a de Polignac number, because 10300011113 - 214 = 10299994729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10300011094 and 10300011103.

It is not an unprimeable number, because it can be changed into a prime (10300011143) 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 in 15 ways as a sum of consecutive naturals, for example, 812078 + ... + 824663.

It is an arithmetic number, because the mean of its divisors is an integer number (785636160).

Almost surely, 210300011113 is an apocalyptic number.

It is an amenable number.

10300011113 is a deficient number, since it is larger than the sum of its proper divisors (2270167447).

10300011113 is a wasteful number, since it uses less digits than its factorization.

10300011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636808.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10300011113 its reverse (31111000301), we get a palindrome (41411011414).

The spelling of 10300011113 in words is "ten billion, three hundred million, eleven thousand, one hundred thirteen".

Divisors: 1 7 29 31 203 217 899 6293 1636741 11457187 47465489 50738971 332258423 355172797 1471430159 10300011113