Search a number
-
+
103212120432300 = 2235211176130160463
BaseRepresentation
bin10111011101111011110001…
…110001100101111010101100
3111112102222112010121020122020
4113131323301301211322230
5102012011410312313200
61003302554335150140
730511554363261555
oct2735736161457254
9445388463536566
10103212120432300
112a983018282250
12b6ab24a375350
134578b27075439
141b6b6c97d732c
15bdebb6596ea0
hex5ddef1c65eac

103212120432300 has 288 divisors, whose sum is σ = 350592954614784. Its totient is φ = 23163234816000.

The previous prime is 103212120432259. The next prime is 103212120432301. The reversal of 103212120432300 is 3234021212301.

It is not an unprimeable number, because it can be changed into a prime (103212120432301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11658132 + ... + 18502331.

It is an arithmetic number, because the mean of its divisors is an integer number (1217336647968).

Almost surely, 2103212120432300 is an apocalyptic number.

103212120432300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103212120432300 is an abundant number, since it is smaller than the sum of its proper divisors (247380834182484).

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

103212120432300 is a wasteful number, since it uses less digits than its factorization.

103212120432300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30160569 (or 30160562 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103212120432300 its reverse (3234021212301), we get a palindrome (106446141644601).

The spelling of 103212120432300 in words is "one hundred three trillion, two hundred twelve billion, one hundred twenty million, four hundred thirty-two thousand, three hundred".