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201022110313101 = 327111527118995167
BaseRepresentation
bin101101101101010000011011…
…011110100010101010001101
3222100202112012111111202122200
4231231100123132202222031
5202322021240220004401
61551312141012432113
760225240201530010
oct5555203336425215
9870675174452580
10201022110313101
1159062aa86aa780
121a667522018639
1388223c41c140c
14378d744725377
1518390a6974686
hexb6d41b7a2a8d

201022110313101 has 48 divisors (see below), whose sum is σ = 362037568708608. Its totient is φ = 104420226535200.

The previous prime is 201022110313093. The next prime is 201022110313111. The reversal of 201022110313101 is 101313011220102.

201022110313101 is a `hidden beast` number, since 20 + 1 + 0 + 221 + 10 + 313 + 101 = 666.

It is not a de Polignac number, because 201022110313101 - 23 = 201022110313093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022110313111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085220 + ... + 20080386.

It is an arithmetic number, because the mean of its divisors is an integer number (7542449348096).

Almost surely, 2201022110313101 is an apocalyptic number.

201022110313101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201022110313101 is a deficient number, since it is larger than the sum of its proper divisors (161015458395507).

201022110313101 is a wasteful number, since it uses less digits than its factorization.

201022110313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19010462 (or 19010459 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201022110313101 its reverse (101313011220102), we get a palindrome (302335121533203).

The spelling of 201022110313101 in words is "two hundred one trillion, twenty-two billion, one hundred ten million, three hundred thirteen thousand, one hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 15271 45813 106897 137439 167981 320691 503943 962073 1175867 1511829 3527601 10582803 18995167 56985501 132966169 170956503 208946837 398898507 626840511 1196695521 1462627859 1880521533 4387883577 13163650731 290075195257 870225585771 2030526366799 2610676757313 3190827147827 6091579100397 9572481443481 18274737301191 22335790034789 28717444330443 67007370104367 201022110313101