Search a number
-
+
131121210300 = 2235241531971021
BaseRepresentation
bin111101000011101101…
…1101110001110111100
3110112110001200122000020
41322013123232032330
54122014012212200
6140123010332140
712321206620023
oct1720733561674
9415401618006
10131121210300
1150676561013
12214b428a050
13c498270792
1464bc3698ba
1536264d8ea0
hex1e876ee3bc

131121210300 has 288 divisors, whose sum is σ = 398362878144. Its totient is φ = 33266688000.

The previous prime is 131121210287. The next prime is 131121210313. The reversal of 131121210300 is 3012121131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131121210287) and next prime (131121210313).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131121210300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128423790 + ... + 128424810.

It is an arithmetic number, because the mean of its divisors is an integer number (1383204438).

Almost surely, 2131121210300 is an apocalyptic number.

131121210300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131121210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199181439072).

131121210300 is an abundant number, since it is smaller than the sum of its proper divisors (267241667844).

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

131121210300 is a wasteful number, since it uses less digits than its factorization.

131121210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131121210300 its reverse (3012121131), we get a palindrome (134133331431).

The spelling of 131121210300 in words is "one hundred thirty-one billion, one hundred twenty-one million, two hundred ten thousand, three hundred".