Search a number
-
+
131212303200 = 253252112150611
BaseRepresentation
bin111101000110011011…
…1001101101101100000
3110112200102002121222100
41322030313031231200
54122210322200300
6140140023010400
712323364114006
oct1721467155540
9415612077870
10131212303200
1150712a19500
122151a899a00
13c4b10b5cc4
1464ca4bca76
15362e4ce700
hex1e8cdcdb60

131212303200 has 324 divisors, whose sum is σ = 508577113044. Its totient is φ = 31808832000.

The previous prime is 131212303163. The next prime is 131212303219. The reversal of 131212303200 is 2303212131.

131212303200 is a `hidden beast` number, since 1 + 312 + 1 + 2 + 30 + 320 + 0 = 666.

131212303200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1312123032002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 795895 + ... + 946505.

Almost surely, 2131212303200 is an apocalyptic number.

131212303200 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 131212303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254288556522).

131212303200 is an abundant number, since it is smaller than the sum of its proper divisors (377364809844).

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

131212303200 is a wasteful number, since it uses less digits than its factorization.

131212303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150659 (or 150632 counting only the distinct ones).

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

Adding to 131212303200 its reverse (2303212131), we get a palindrome (133515515331).

The spelling of 131212303200 in words is "one hundred thirty-one billion, two hundred twelve million, three hundred three thousand, two hundred".