Search a number
-
+
345212101212543 = 32281288714727977
BaseRepresentation
bin100111001111101111111010…
…0101010100011100101111111
31200021021221202212211200221100
41032133133310222203211333
5330221423340402300133
63222112125554104143
7132466515453052065
oct11637376452434577
91607257685750840
10345212101212543
119aaa46a2523354
123287450227b053
1311a81491193ba6
1461364d79c2035
1529d9b5b7d5e13
hex139f7f4aa397f

345212101212543 has 24 divisors (see below), whose sum is σ = 500431658871456. Its totient is φ = 229314400761600.

The previous prime is 345212101212521. The next prime is 345212101212571.

345212101212543 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 1 + 2 + 101 + 2 + 1 + 2 + 543 = 666.

345212101212543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345212101212543 - 214 = 345212101196159 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 345212101212498 and 345212101212507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345212102212543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70650771 + ... + 75378747.

It is an arithmetic number, because the mean of its divisors is an integer number (20851319119644).

Almost surely, 2345212101212543 is an apocalyptic number.

345212101212543 is a deficient number, since it is larger than the sum of its proper divisors (155219557658913).

345212101212543 is a wasteful number, since it uses less digits than its factorization.

345212101212543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757135 (or 4757132 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 34521210 and 1212543, that added together give a palindrome (35733753).

The spelling of 345212101212543 in words is "three hundred forty-five trillion, two hundred twelve billion, one hundred one million, two hundred twelve thousand, five hundred forty-three".

Divisors: 1 3 9 281 843 2529 28871 86613 259839 4727977 8112751 14183931 24338253 42551793 73014759 1328561537 3985684611 11957053833 136501423967 409504271901 1228512815703 38356900134727 115070700404181 345212101212543