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10300313413 = 1317371259669
BaseRepresentation
bin10011001011111001…
…00100111101000101
3222120211212010200101
421211330210331011
5132043340012123
64422031244101
7513152135155
oct114574447505
928524763611
1010300313413
114406292a15
121bb5679631
13c81c97b10
146d9db8765
1540442eaad
hex265f24f45

10300313413 has 16 divisors (see below), whose sum is σ = 12062599920. Its totient is φ = 8706825216.

The previous prime is 10300313411. The next prime is 10300313423. The reversal of 10300313413 is 31431300301.

It can be written as a sum of positive squares in 8 ways, for example, as 54420129 + 10245893284 = 7377^2 + 101222^2 .

It is a cyclic number.

It is not a de Polignac number, because 10300313413 - 21 = 10300313411 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 (10300313411) 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, 621658 + ... + 638011.

It is an arithmetic number, because the mean of its divisors is an integer number (753912495).

Almost surely, 210300313413 is an apocalyptic number.

10300313413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10300313413 is a deficient number, since it is larger than the sum of its proper divisors (1762286507).

10300313413 is a wasteful number, since it uses less digits than its factorization.

10300313413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259736.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10300313413 its reverse (31431300301), we get a palindrome (41731613714).

The spelling of 10300313413 in words is "ten billion, three hundred million, three hundred thirteen thousand, four hundred thirteen".

Divisors: 1 13 17 37 221 481 629 8177 1259669 16375697 21414373 46607753 278386849 605900789 792331801 10300313413