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3420102123101 = 292294491146989
BaseRepresentation
bin110001110001001101111…
…110001101111001011101
3110002221212210112022020202
4301301031332031321131
5422013332120414401
611135101225553245
7502044214246016
oct61611576157135
913087783468222
103420102123101
1110a9503539754
12472a09345825
131ba68ba50b31
14bb768b6600d
155de70d2c06b
hex31c4df8de5d

3420102123101 has 16 divisors (see below), whose sum is σ = 3561403950000. Its totient is φ = 3280422383616.

The previous prime is 3420102123029. The next prime is 3420102123121. The reversal of 3420102123101 is 1013212010243.

It can be written as a sum of positive squares in 8 ways, for example, as 12072295876 + 3408029827225 = 109874^2 + 1846085^2 .

It is a cyclic number.

It is not a de Polignac number, because 3420102123101 - 226 = 3420035014237 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 (3420102123121) 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, 2408315 + ... + 3555303.

It is an arithmetic number, because the mean of its divisors is an integer number (222587746875).

Almost surely, 23420102123101 is an apocalyptic number.

It is an amenable number.

3420102123101 is a deficient number, since it is larger than the sum of its proper divisors (141301826899).

3420102123101 is a wasteful number, since it uses less digits than its factorization.

3420102123101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147696.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3420102123101 its reverse (1013212010243), we get a palindrome (4433314133344).

The spelling of 3420102123101 in words is "three trillion, four hundred twenty billion, one hundred two million, one hundred twenty-three thousand, one hundred one".

Divisors: 1 29 229 449 6641 13021 102821 1146989 2981809 33262681 262660481 514998061 7617153949 14934943769 117934555969 3420102123101