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10221120413343 = 33754080002187
BaseRepresentation
bin1001010010111100101001…
…0000000101111010011111
31100012010111110022002202000
42110233022100011322133
52314430323311211333
633423303510533343
72103310615011360
oct224571220057237
940163443262660
1010221120413343
113290831011384
121190b08667253
13591b02ccc5a8
142749c2229b67
1512ad1c69c713
hex94bca405e9f

10221120413343 has 16 divisors (see below), whose sum is σ = 17305600700160. Its totient is φ = 5840640236088.

The previous prime is 10221120413293. The next prime is 10221120413393. The reversal of 10221120413343 is 34331402112201.

10221120413343 is a `hidden beast` number, since 1 + 0 + 2 + 211 + 2 + 0 + 413 + 34 + 3 = 666.

10221120413343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10221120413293) and next prime (10221120413393).

It is not a de Polignac number, because 10221120413343 - 26 = 10221120413279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221120413393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27040000905 + ... + 27040001282.

It is an arithmetic number, because the mean of its divisors is an integer number (1081600043760).

Almost surely, 210221120413343 is an apocalyptic number.

10221120413343 is a deficient number, since it is larger than the sum of its proper divisors (7084480286817).

10221120413343 is an equidigital number, since it uses as much as digits as its factorization.

10221120413343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54080002203 (or 54080002197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10221120413343 its reverse (34331402112201), we get a palindrome (44552522525544).

The spelling of 10221120413343 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty million, four hundred thirteen thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 27 63 189 54080002187 162240006561 378560015309 486720019683 1135680045927 1460160059049 3407040137781 10221120413343