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3434022420201 = 38523399241
BaseRepresentation
bin110001111110001011101…
…011111011111011101001
3110011021210221000200000000
4301332023223323323221
5422230334214421301
611145322414133213
7503046163646412
oct61761353737351
913137727020000
103434022420201
1111043a7149a1a
124756531b1209
131bba999a4919
14bc2c9812809
155e4d7e69786
hex31f8bafbee9

3434022420201 has 18 divisors (see below), whose sum is σ = 5150771940522. Its totient is φ = 2289348275760.

The previous prime is 3434022420197. The next prime is 3434022420259. The reversal of 3434022420201 is 1020242204343.

3434022420201 is a `hidden beast` number, since 3 + 4 + 34 + 0 + 2 + 2 + 420 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2903053707225 + 530968712976 = 1703835^2 + 728676^2 .

It is not a de Polignac number, because 3434022420201 - 22 = 3434022420197 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (3434022421201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 261693060 + ... + 261706181.

Almost surely, 23434022420201 is an apocalyptic number.

It is an amenable number.

3434022420201 is a deficient number, since it is larger than the sum of its proper divisors (1716749520321).

3434022420201 is an frugal number, since it uses more digits than its factorization.

3434022420201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523399265 (or 523399244 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3434022420201 its reverse (1020242204343), we get a palindrome (4454264624544).

The spelling of 3434022420201 in words is "three trillion, four hundred thirty-four billion, twenty-two million, four hundred twenty thousand, two hundred one".

Divisors: 1 3 9 27 81 243 729 2187 6561 523399241 1570197723 4710593169 14131779507 42395338521 127186015563 381558046689 1144674140067 3434022420201