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105160423313 = 11131336121713
BaseRepresentation
bin110000111110000001…
…1001011011110010001
3101001102210220000020002
41201330003023132101
53210332032021223
6120150544455345
710411654564301
oct1417403133621
9331383800202
10105160423313
1140664354560
121846a01a555
139bbb97966a
145138561601
152b072cde28
hex187c0cb791

105160423313 has 16 divisors (see below), whose sum is σ = 115635909312. Its totient is φ = 94838016000.

The previous prime is 105160423307. The next prime is 105160423349. The reversal of 105160423313 is 313324061501.

It is a cyclic number.

It is not a de Polignac number, because 105160423313 - 216 = 105160357777 is a prime.

It is a super-2 number, since 2×1051604233132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105160423373) 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, 4832345 + ... + 4854057.

It is an arithmetic number, because the mean of its divisors is an integer number (7227244332).

Almost surely, 2105160423313 is an apocalyptic number.

It is an amenable number.

105160423313 is a deficient number, since it is larger than the sum of its proper divisors (10475485999).

105160423313 is a wasteful number, since it uses less digits than its factorization.

105160423313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25216.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 105160423313 its reverse (313324061501), we get a palindrome (418484484814).

The spelling of 105160423313 in words is "one hundred five billion, one hundred sixty million, four hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 11 131 1441 3361 21713 36971 238843 440291 2844403 4843201 31288433 72977393 802751323 9560038483 105160423313