Search a number
-
+
105234363432501 = 335078121144167
BaseRepresentation
bin10111111011010111001000…
…110110011011111000110101
3111210121022021201120120200120
4113323113020312123320311
5102243124434014320001
61011451555453002153
731110634425205002
oct2773271066337065
9453538251516616
10105234363432501
1130592708781326
12b97715b483359
1346947338c0094
141bdb5284008a9
15c275c21a3236
hex5fb5c8d9be35

105234363432501 has 4 divisors (see below), whose sum is σ = 140312484576672. Its totient is φ = 70156242288332.

The previous prime is 105234363432463. The next prime is 105234363432529.

105234363432501 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105234363432501 - 211 = 105234363430453 is a prime.

It is a super-2 number, since 2×1052343634325012 (a number of 29 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105234363432571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17539060572081 + ... + 17539060572086.

It is an arithmetic number, because the mean of its divisors is an integer number (35078121144168).

Almost surely, 2105234363432501 is an apocalyptic number.

It is an amenable number.

105234363432501 is a deficient number, since it is larger than the sum of its proper divisors (35078121144171).

105234363432501 is an equidigital number, since it uses as much as digits as its factorization.

105234363432501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35078121144170.

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 105234363432501 in words is "one hundred five trillion, two hundred thirty-four billion, three hundred sixty-three million, four hundred thirty-two thousand, five hundred one".

Divisors: 1 3 35078121144167 105234363432501