Search a number
-
+
102206601 = 32721713633
BaseRepresentation
bin1100001011110…
…00110010001001
321010022122002200
412011320302021
5202131102401
614050350413
72350512300
oct605706211
9233278080
10102206601
1152769372
122a28b409
1318236ca3
14d807437
158e8d686
hex6178c89

102206601 has 36 divisors (see below), whose sum is σ = 181850292. Its totient is φ = 54964224.

The previous prime is 102206539. The next prime is 102206609. The reversal of 102206601 is 106602201.

It is a happy number.

102206601 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 660 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75951225 + 26255376 = 8715^2 + 5124^2 .

It is not a de Polignac number, because 102206601 - 210 = 102205577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102206609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 681 + ... + 14313.

It is an arithmetic number, because the mean of its divisors is an integer number (5051397).

Almost surely, 2102206601 is an apocalyptic number.

It is an amenable number.

102206601 is a deficient number, since it is larger than the sum of its proper divisors (79643691).

102206601 is a wasteful number, since it uses less digits than its factorization.

102206601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13670 (or 13660 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102206601 is about 10109.7280378851. The cubic root of 102206601 is about 467.5481201481.

Adding to 102206601 its reverse (106602201), we get a palindrome (208808802).

The spelling of 102206601 in words is "one hundred two million, two hundred six thousand, six hundred one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 13633 40899 95431 122697 231761 286293 668017 695283 858879 1622327 2004051 2085849 4866981 6012153 11356289 14600943 34068867 102206601