Search a number
-
+
103232103012 = 22322867558417
BaseRepresentation
bin110000000100100011…
…1001110001001100100
3100212110102102012001200
41200021013032021210
53142404404244022
6115231342122500
710313121253233
oct1401107161144
9325412365050
10103232103012
113a864915a15
1218010280430
13997230b52c
144dd4404b1a
152a42d79bac
hex18091ce264

103232103012 has 18 divisors (see below), whose sum is σ = 260947816038. Its totient is φ = 34410700992.

The previous prime is 103232102989. The next prime is 103232103047. The reversal of 103232103012 is 210301232301.

103232103012 is a `hidden beast` number, since 10 + 32 + 321 + 0 + 301 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81074589696 + 22157513316 = 284736^2 + 148854^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1433779173 + ... + 1433779244.

It is an arithmetic number, because the mean of its divisors is an integer number (14497100891).

Almost surely, 2103232103012 is an apocalyptic number.

103232103012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103232103012 is an abundant number, since it is smaller than the sum of its proper divisors (157715713026).

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

103232103012 is a wasteful number, since it uses less digits than its factorization.

103232103012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867558427 (or 2867558422 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103232103012 its reverse (210301232301), we get a palindrome (313533335313).

The spelling of 103232103012 in words is "one hundred three billion, two hundred thirty-two million, one hundred three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2867558417 5735116834 8602675251 11470233668 17205350502 25808025753 34410701004 51616051506 103232103012