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10434535220241 = 3211105399345659
BaseRepresentation
bin1001011111010111101011…
…0000111110010000010001
31100221112100200220120210100
42113311322300332100101
52331424412004021431
634105320450523013
72124604336644516
oct227657260762021
940845320816710
1010434535220241
113363297116550
121206348896469
135a8c84617512
14281069bb330d
1513165d6ae4e6
hex97d7ac3e411

10434535220241 has 12 divisors (see below), whose sum is σ = 16442297922960. Its totient is φ = 6323960739480.

The previous prime is 10434535220233. The next prime is 10434535220243. The reversal of 10434535220241 is 14202253543401.

It is a happy number.

10434535220241 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 45 + 352 + 20 + 241 = 666.

It is not a de Polignac number, because 10434535220241 - 23 = 10434535220233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10434535220196 and 10434535220205.

It is not an unprimeable number, because it can be changed into a prime (10434535220243) 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 11 ways as a sum of consecutive naturals, for example, 52699672731 + ... + 52699672928.

It is an arithmetic number, because the mean of its divisors is an integer number (1370191493580).

Almost surely, 210434535220241 is an apocalyptic number.

10434535220241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10434535220241 is a deficient number, since it is larger than the sum of its proper divisors (6007762702719).

10434535220241 is a wasteful number, since it uses less digits than its factorization.

10434535220241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105399345676 (or 105399345673 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10434535220241 its reverse (14202253543401), we get a palindrome (24636788763642).

The spelling of 10434535220241 in words is "ten trillion, four hundred thirty-four billion, five hundred thirty-five million, two hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 99 105399345659 316198036977 948594110931 1159392802249 3478178406747 10434535220241