Search a number
-
+
10143522534101 = 1179643148312241
BaseRepresentation
bin1001001110011011100100…
…0011101011001011010101
31022220201012112012101221112
42103212321003223023111
52312142413232042401
633323511523024405
72064562641635315
oct223467103531325
938821175171845
1010143522534101
113260931036170
121179a7120b105
135876b7746808
14270d40503445
15128cca0233bb
hex939b90eb2d5

10143522534101 has 32 divisors (see below), whose sum is σ = 11231645214720. Its totient is φ = 9083626156800.

The previous prime is 10143522534053. The next prime is 10143522534109.

10143522534101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10143522534101 - 26 = 10143522534037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143522534109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828645341 + ... + 828657581.

It is an arithmetic number, because the mean of its divisors is an integer number (350988912960).

Almost surely, 210143522534101 is an apocalyptic number.

10143522534101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10143522534101 is a deficient number, since it is larger than the sum of its proper divisors (1088122680619).

10143522534101 is a wasteful number, since it uses less digits than its factorization.

10143522534101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14457.

The product of its (nonzero) digits is 14400, while the sum is 32.

It can be divided in two parts, 1014352 and 2534101, that added together give a palindrome (3548453).

The spelling of 10143522534101 in words is "ten trillion, one hundred forty-three billion, five hundred twenty-two million, five hundred thirty-four thousand, one hundred one".

Divisors: 1 11 79 643 869 1483 7073 12241 16313 50797 117157 134651 558767 953569 967039 1288727 7870963 10489259 10637429 18153403 75331951 86580593 199687433 621806077 828651461 1434118837 6839866847 11672638129 15775307207 128399019419 922138412191 10143522534101