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105153442323 = 3131267566011
BaseRepresentation
bin110000111101110100…
…0100011001000010011
3101001102022202100002220
41201323220203020103
53210323240123243
6120150135112123
710411541340456
oct1417350431023
9331368670086
10105153442323
1140660416646
1218467812643
139bba3a3cb7
14513766549d
152b068a0783
hex187ba23213

105153442323 has 8 divisors (see below), whose sum is σ = 141274854336. Its totient is φ = 69567162600.

The previous prime is 105153442279. The next prime is 105153442367. The reversal of 105153442323 is 323244351501.

It is an interprime number because it is at equal distance from previous prime (105153442279) and next prime (105153442367).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105153442323 - 26 = 105153442259 is a prime.

It is a super-2 number, since 2×1051534423232 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105153440323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133782613 + ... + 133783398.

It is an arithmetic number, because the mean of its divisors is an integer number (17659356792).

Almost surely, 2105153442323 is an apocalyptic number.

105153442323 is a deficient number, since it is larger than the sum of its proper divisors (36121412013).

105153442323 is a wasteful number, since it uses less digits than its factorization.

105153442323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267566145.

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 105153442323 its reverse (323244351501), we get a palindrome (428397793824).

The spelling of 105153442323 in words is "one hundred five billion, one hundred fifty-three million, four hundred forty-two thousand, three hundred twenty-three".

Divisors: 1 3 131 393 267566011 802698033 35051147441 105153442323