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10300105113 = 371137352973
BaseRepresentation
bin10011001011110111…
…10010000110011001
3222120211110112221120
421211323302012121
5132043311330423
64422022555453
7513150306654
oct114573620631
928524415846
1010300105113
114406160471
121bb5598b89
13c81c2406c
146d9d6289b
154043dcee3
hex265ef2199

10300105113 has 16 divisors (see below), whose sum is σ = 14028598656. Its totient is φ = 6720586880.

The previous prime is 10300105097. The next prime is 10300105141. The reversal of 10300105113 is 31150100301.

It is a cyclic number.

It is not a de Polignac number, because 10300105113 - 24 = 10300105097 is a prime.

It is a super-5 number, since 5×103001051135 (a number of 51 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10300105092 and 10300105101.

It is not an unprimeable number, because it can be changed into a prime (10300105513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147306 + ... + 205667.

It is an arithmetic number, because the mean of its divisors is an integer number (876787416).

Almost surely, 210300105113 is an apocalyptic number.

It is an amenable number.

10300105113 is a deficient number, since it is larger than the sum of its proper divisors (3728493543).

10300105113 is a wasteful number, since it uses less digits than its factorization.

10300105113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353184.

The product of its (nonzero) digits is 45, while the sum is 15.

Adding to 10300105113 its reverse (31150100301), we get a palindrome (41450205414).

The spelling of 10300105113 in words is "ten billion, three hundred million, one hundred five thousand, one hundred thirteen".

Divisors: 1 3 71 137 213 411 9727 29181 352973 1058919 25061083 48357301 75183249 145071903 3433368371 10300105113