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10300013101 = 72210204349
BaseRepresentation
bin10011001011110110…
…11011101000101101
3222120211021212201201
421211323123220231
5132043300404401
64422021005501
7513146444500
oct114573335055
928524255651
1010300013101
1144060a8324
121bb5553891
13c81bc1211
146d9d3b137
154043c0b01
hex265edba2d

10300013101 has 6 divisors (see below), whose sum is σ = 11981647950. Its totient is φ = 8828582616.

The previous prime is 10300013083. The next prime is 10300013123. The reversal of 10300013101 is 10131000301.

It can be written as a sum of positive squares in only one way, i.e., 10186057476 + 113955625 = 100926^2 + 10675^2 .

It is not a de Polignac number, because 10300013101 - 213 = 10300004909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300013701) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105102126 + ... + 105102223.

It is an arithmetic number, because the mean of its divisors is an integer number (1996941325).

Almost surely, 210300013101 is an apocalyptic number.

It is an amenable number.

10300013101 is a deficient number, since it is larger than the sum of its proper divisors (1681634849).

10300013101 is an equidigital number, since it uses as much as digits as its factorization.

10300013101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210204363 (or 210204356 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10300013101 its reverse (10131000301), we get a palindrome (20431013402).

The spelling of 10300013101 in words is "ten billion, three hundred million, thirteen thousand, one hundred one".

Divisors: 1 7 49 210204349 1471430443 10300013101