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105130053201 = 3833631116279
BaseRepresentation
bin110000111101000111…
…1010100111001010001
3101001100200202001021010
41201322033110321101
53210301243200301
6120143541521133
710411135464555
oct1417217247121
9331320661233
10105130053201
11406491a0a98
121845ba131a9
139bb55a5094
1451344d7865
152b047d05d6
hex187a3d4e51

105130053201 has 16 divisors (see below), whose sum is σ = 141902530560. Its totient is φ = 69222618960.

The previous prime is 105130053179. The next prime is 105130053211. The reversal of 105130053201 is 102350031501.

It is not a de Polignac number, because 105130053201 - 230 = 104056311377 is a prime.

It is a super-2 number, since 2×1051300532012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105130053211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845980 + ... + 962258.

It is an arithmetic number, because the mean of its divisors is an integer number (8868908160).

Almost surely, 2105130053201 is an apocalyptic number.

It is an amenable number.

105130053201 is a deficient number, since it is larger than the sum of its proper divisors (36772477359).

105130053201 is a wasteful number, since it uses less digits than its factorization.

105130053201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119996.

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 105130053201 its reverse (102350031501), we get a palindrome (207480084702).

The spelling of 105130053201 in words is "one hundred five billion, one hundred thirty million, fifty-three thousand, two hundred one".

Divisors: 1 3 83 249 3631 10893 116279 301373 348837 904119 9651157 28953471 422209049 1266627147 35043351067 105130053201