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10300101133 = 779139133999
BaseRepresentation
bin10011001011110111…
…10001001000001101
3222120211110100111011
421211323301020031
5132043311214013
64422022525221
7513150262240
oct114573611015
928524410434
1010300101133
114406158483
121bb5596811
13c81c222ca
146d9d61257
154043dbc3d
hex265ef120d

10300101133 has 16 divisors (see below), whose sum is σ = 12006400000. Its totient is φ = 8654126832.

The previous prime is 10300101127. The next prime is 10300101173. The reversal of 10300101133 is 33110100301.

It is a happy number.

10300101133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10300101133 - 213 = 10300092941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9868 + ... + 143866.

It is an arithmetic number, because the mean of its divisors is an integer number (750400000).

Almost surely, 210300101133 is an apocalyptic number.

It is an amenable number.

10300101133 is a deficient number, since it is larger than the sum of its proper divisors (1706298867).

10300101133 is a wasteful number, since it uses less digits than its factorization.

10300101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134224.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10300101133 its reverse (33110100301), we get a palindrome (43410201434).

The spelling of 10300101133 in words is "ten billion, three hundred million, one hundred one thousand, one hundred thirty-three".

Divisors: 1 7 79 139 553 973 10981 76867 133999 937993 10585921 18625861 74101447 130381027 1471443019 10300101133