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342105501243 = 31119545622809
BaseRepresentation
bin1001111101001110001…
…00111010111000111011
31012201000220212002222010
410332213010322320323
521101113002014433
6421054444101003
733500456531622
oct4764704727073
91181026762863
10342105501243
111220a4700610
1256376534763
1326350176c9c
14127b51cc6b9
158d73e47e63
hex4fa713ae3b

342105501243 has 16 divisors (see below), whose sum is σ = 523797897600. Its totient is φ = 196424210880.

The previous prime is 342105501223. The next prime is 342105501253.

342105501243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342105501243 - 29 = 342105500731 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 342105501243.

It is not an unprimeable number, because it can be changed into a prime (342105501223) 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 15 ways as a sum of consecutive naturals, for example, 272810778 + ... + 272812031.

It is an arithmetic number, because the mean of its divisors is an integer number (32737368600).

Almost surely, 2342105501243 is an apocalyptic number.

342105501243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342105501243 is a deficient number, since it is larger than the sum of its proper divisors (181692396357).

342105501243 is a wasteful number, since it uses less digits than its factorization.

342105501243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545622842.

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 342105 and 501243, that added together give a palindrome (843348).

The spelling of 342105501243 in words is "three hundred forty-two billion, one hundred five million, five hundred one thousand, two hundred forty-three".

Divisors: 1 3 11 19 33 57 209 627 545622809 1636868427 6001850899 10366833371 18005552697 31100500113 114035167081 342105501243