Search a number
-
+
206102231120541 = 3753881692100253
BaseRepresentation
bin101110110111001011101010…
…010001011111101010011101
31000000202011212212001121201110
4232313023222101133222131
5204003234332131324131
62010202020300132233
761261252264110060
oct5667135221375235
91000664785047643
10206102231120541
115a741513436778
121b147bb0237079
138b00484437a82
1438c7588cd28d7
1518c62d3079646
hexbb72ea45fa9d

206102231120541 has 32 divisors (see below), whose sum is σ = 319989994871040. Its totient is φ = 115549211441664.

The previous prime is 206102231120519. The next prime is 206102231120549. The reversal of 206102231120541 is 145021132201602.

It is not a de Polignac number, because 206102231120541 - 222 = 206102226926237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 206102231120499 and 206102231120508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206102231120549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97081971 + ... + 99182223.

It is an arithmetic number, because the mean of its divisors is an integer number (9999687339720).

Almost surely, 2206102231120541 is an apocalyptic number.

206102231120541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

206102231120541 is a deficient number, since it is larger than the sum of its proper divisors (113887763750499).

206102231120541 is a wasteful number, since it uses less digits than its factorization.

206102231120541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188485.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 206102231120541 in words is "two hundred six trillion, one hundred two billion, two hundred thirty-one million, one hundred twenty thousand, five hundred forty-one".

Divisors: 1 3 7 21 53 159 371 1113 88169 264507 617183 1851549 2100253 4672957 6300759 14018871 14701771 32710699 44105313 98132097 111313409 333940227 779193863 2337581589 185177206757 555531620271 1296240447299 3888721341897 9814391958121 29443175874363 68700743706847 206102231120541