Search a number
-
+
121131231300 = 223452109137197
BaseRepresentation
bin111000011001111111…
…0111110100001000100
3102120122211210010010000
41300303332332201010
53441034043400200
6131351422401300
711515513322562
oct1606376764104
9376584703100
10121131231300
114740a470a22
121b586730230
13b5656815c1
145c11694a32
15323e45a300
hex1c33fbe844

121131231300 has 180 divisors, whose sum is σ = 396264867460. Its totient is φ = 32005082880.

The previous prime is 121131231271. The next prime is 121131231311. The reversal of 121131231300 is 3132131121.

121131231300 is a `hidden beast` number, since 1 + 2 + 1 + 131 + 231 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 344399364 + 120786831936 = 18558^2 + 347544^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 814302 + ... + 951498.

Almost surely, 2121131231300 is an apocalyptic number.

121131231300 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 121131231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132433730).

121131231300 is an abundant number, since it is smaller than the sum of its proper divisors (275133636160).

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

121131231300 is a wasteful number, since it uses less digits than its factorization.

121131231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137332 (or 137316 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121131231300 its reverse (3132131121), we get a palindrome (124263362421).

The spelling of 121131231300 in words is "one hundred twenty-one billion, one hundred thirty-one million, two hundred thirty-one thousand, three hundred".