Search a number
-
+
102201066 = 23211539739
BaseRepresentation
bin1100001011101…
…11011011101010
321010022100111200
412011313123222
5202130413231
614050305030
72350460202
oct605673352
9233270450
10102201066
11527651a0
122a288176
1318234606
14d805402
158e8bbe6
hex61776ea

102201066 has 48 divisors (see below), whose sum is σ = 246149280. Its totient is φ = 30382560.

The previous prime is 102201061. The next prime is 102201083. The reversal of 102201066 is 660102201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102201061) 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, 5625 + ... + 15363.

It is an arithmetic number, because the mean of its divisors is an integer number (5128110).

Almost surely, 2102201066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102201066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123074640).

102201066 is an abundant number, since it is smaller than the sum of its proper divisors (143948214).

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

102201066 is a wasteful number, since it uses less digits than its factorization.

102201066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9811 (or 9808 counting only the distinct ones).

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

The square root of 102201066 is about 10109.4542879425. The cubic root of 102201066 is about 467.5396799706.

Adding to 102201066 its reverse (660102201), we get a palindrome (762303267).

The spelling of 102201066 in words is "one hundred two million, two hundred one thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 9739 10494 19478 29217 58434 87651 107129 175302 214258 321387 516167 642774 964161 1032334 1548501 1928322 3097002 4645503 5677837 9291006 11355674 17033511 34067022 51100533 102201066