Search a number
-
+
102155510205 = 3357131825199
BaseRepresentation
bin101111100100011110…
…0010110000110111101
3100202200101121121101000
41133020330112012331
53133203302311310
6114532443040513
710244336336550
oct1371074260675
9322611547330
10102155510205
113a3621388a1
121796b810139
139830264a78
144d3143a697
1529cd5b94c0
hex17c8f161bd

102155510205 has 64 divisors (see below), whose sum is σ = 209138688000. Its totient is φ = 46343119680.

The previous prime is 102155510161. The next prime is 102155510227. The reversal of 102155510205 is 502015551201.

102155510205 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 555 + 102 + 0 + 5 = 666.

It is not a de Polignac number, because 102155510205 - 26 = 102155510141 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288805 + ... + 536394.

It is an arithmetic number, because the mean of its divisors is an integer number (3267792000).

Almost surely, 2102155510205 is an apocalyptic number.

102155510205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102155510205 is an abundant number, since it is smaller than the sum of its proper divisors (106983177795).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102155510205 is a wasteful number, since it uses less digits than its factorization.

102155510205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825351 (or 825345 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The spelling of 102155510205 in words is "one hundred two billion, one hundred fifty-five million, five hundred ten thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 131 135 189 315 393 655 917 945 1179 1965 2751 3537 4585 5895 8253 13755 17685 24759 41265 123795 825199 2475597 4125995 5776393 7426791 12377985 17329179 22280373 28881965 37133955 51987537 86645895 108101069 111401865 155962611 259937685 324303207 540505345 756707483 779813055 972909621 1621516035 2270122449 2918728863 3783537415 4864548105 6810367347 11350612245 14593644315 20431102041 34051836735 102155510205