Search a number
-
+
122152165000227 = 32371756732088103
BaseRepresentation
bin11011110001100011000100…
…011001110100010000100011
3121000111122002101220210202200
4123301203010121310100203
5112002320113220001402
61111443532505544243
734505126343641415
oct3361430431642043
9530448071823680
10122152165000227
1135a1549570792a
1211849aa8aa5083
135320b909391cb
1422242a6a3a9b5
15e1c6d131921c
hex6f18c4674423

122152165000227 has 24 divisors (see below), whose sum is σ = 181211837555424. Its totient is φ = 79233347781504.

The previous prime is 122152165000207. The next prime is 122152165000259. The reversal of 122152165000227 is 722000561251221.

122152165000227 is a `hidden beast` number, since 1 + 2 + 215 + 216 + 5 + 0 + 0 + 0 + 227 = 666.

It is not a de Polignac number, because 122152165000227 - 223 = 122152156611619 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122152165000191 and 122152165000200.

It is not an unprimeable number, because it can be changed into a prime (122152165000207) 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, 57455058 + ... + 59543160.

It is an arithmetic number, because the mean of its divisors is an integer number (7550493231476).

Almost surely, 2122152165000227 is an apocalyptic number.

122152165000227 is a deficient number, since it is larger than the sum of its proper divisors (59059672555197).

122152165000227 is a wasteful number, since it uses less digits than its factorization.

122152165000227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263819 (or 2263816 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 122152165000227 in words is "one hundred twenty-two trillion, one hundred fifty-two billion, one hundred sixty-five million, two hundred twenty-seven", and thus it is an aban number.

Divisors: 1 3 9 37 111 333 175673 527019 1581057 2088103 6264309 6499901 18792927 19499703 58499109 77259811 231779433 695338299 366823318319 1100469954957 3301409864871 13572462777803 40717388333409 122152165000227