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10340004301 = 11285454581
BaseRepresentation
bin10011010000100111…
…11111000111001101
3222200121112122100021
421220103333013031
5132134020114201
64430010102141
7514143405064
oct115023770715
928617478307
1010340004301
114426732300
122006a1a951
13c8a283a53
1470138b1db
15407b6eea1
hex2684ff1cd

10340004301 has 6 divisors (see below), whose sum is σ = 11365459406. Its totient is φ = 9400003800.

The previous prime is 10340004251. The next prime is 10340004329.

10340004301 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 10221412201 + 118592100 = 101101^2 + 10890^2 .

It is not a de Polignac number, because 10340004301 - 213 = 10339996109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340002301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42727170 + ... + 42727411.

Almost surely, 210340004301 is an apocalyptic number.

10340004301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10340004301 is a deficient number, since it is larger than the sum of its proper divisors (1025455105).

10340004301 is an equidigital number, since it uses as much as digits as its factorization.

10340004301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85454603 (or 85454592 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 1034000 and 4301, that added together give a palindrome (1038301).

The spelling of 10340004301 in words is "ten billion, three hundred forty million, four thousand, three hundred one".

Divisors: 1 11 121 85454581 940000391 10340004301