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10340212441 = 132101605789
BaseRepresentation
bin10011010000101001…
…10001111011011001
3222200121221012212011
421220110301323121
5132134043244231
64430014345521
7514145232646
oct115024617331
928617835764
1010340212441
114426864719
122006abb2a1
13c8a327700
14701402dcd
15407bb19b1
hex268531ed9

10340212441 has 12 divisors (see below), whose sum is σ = 11307676140. Its totient is φ = 9450292800.

The previous prime is 10340212439. The next prime is 10340212483. The reversal of 10340212441 is 14421204301.

It is a happy number.

10340212441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1390041 + 10338822400 = 1179^2 + 101680^2 .

It is not a de Polignac number, because 10340212441 - 21 = 10340212439 is a prime.

It is a super-2 number, since 2×103402124412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10340213441) 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 11 ways as a sum of consecutive naturals, for example, 285826 + ... + 319963.

It is an arithmetic number, because the mean of its divisors is an integer number (942306345).

Almost surely, 210340212441 is an apocalyptic number.

It is an amenable number.

10340212441 is a deficient number, since it is larger than the sum of its proper divisors (967463699).

10340212441 is a wasteful number, since it uses less digits than its factorization.

10340212441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605916 (or 605903 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10340212441 its reverse (14421204301), we get a palindrome (24761416742).

The spelling of 10340212441 in words is "ten billion, three hundred forty million, two hundred twelve thousand, four hundred forty-one".

Divisors: 1 13 101 169 1313 17069 605789 7875257 61184689 102378341 795400957 10340212441