Search a number
-
+
102141220 = 2255107061
BaseRepresentation
bin1100001011010…
…00110100100100
321010012022102011
412011220310210
5202122004340
614045124004
72350120546
oct605506444
9233168364
10102141220
1152724235
122a259604
13182132bc
14d7cb696
158e790ea
hex6168d24

102141220 has 12 divisors (see below), whose sum is σ = 214496604. Its totient is φ = 40856480.

The previous prime is 102141203. The next prime is 102141223. The reversal of 102141220 is 22141201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 55026724 + 47114496 = 7418^2 + 6864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102141220.

It is not an unprimeable number, because it can be changed into a prime (102141223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2553511 + ... + 2553550.

It is an arithmetic number, because the mean of its divisors is an integer number (17874717).

Almost surely, 2102141220 is an apocalyptic number.

102141220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102141220 is an abundant number, since it is smaller than the sum of its proper divisors (112355384).

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

102141220 is a wasteful number, since it uses less digits than its factorization.

102141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107070 (or 5107068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 102141220 is about 10106.4939519103. The cubic root of 102141220 is about 467.4484028960.

Adding to 102141220 its reverse (22141201), we get a palindrome (124282421).

The spelling of 102141220 in words is "one hundred two million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5107061 10214122 20428244 25535305 51070610 102141220