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34364223016101 = 32111481232343413
BaseRepresentation
bin1111101000001000010110…
…10011100100110010100101
311111200012001210020201221100
413310010023103210302211
514001010412043003401
6201030412304310313
710144506324063666
oct764041323446245
9144605053221840
1034364223016101
11aa49870023530
123a30024912399
1316236bc69a654
1486b3470c936d
153e8d5b7beb86
hex1f410b4e4ca5

34364223016101 has 24 divisors (see below), whose sum is σ = 54150073432416. Its totient is φ = 20826652335840.

The previous prime is 34364223016093. The next prime is 34364223016157. The reversal of 34364223016101 is 10161032246343.

34364223016101 is a `hidden beast` number, since 3 + 4 + 3 + 6 + 4 + 2 + 2 + 30 + 1 + 610 + 1 = 666.

It is not a de Polignac number, because 34364223016101 - 23 = 34364223016093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34364223016001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13492471 + ... + 15835883.

It is an arithmetic number, because the mean of its divisors is an integer number (2256253059684).

Almost surely, 234364223016101 is an apocalyptic number.

It is an amenable number.

34364223016101 is a deficient number, since it is larger than the sum of its proper divisors (19785850416315).

34364223016101 is a wasteful number, since it uses less digits than its factorization.

34364223016101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491553 (or 2491550 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34364223016101 in words is "thirty-four trillion, three hundred sixty-four billion, two hundred twenty-three million, sixteen thousand, one hundred one".

Divisors: 1 3 9 11 33 99 148123 444369 1333107 1629353 2343413 4888059 7030239 14664177 21090717 25777543 77332629 231997887 347113363799 1041340091397 3124020274191 3818247001789 11454741005367 34364223016101