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131332132332 = 223210933468943
BaseRepresentation
bin111101001010000000…
…0010100110111101100
3110112222202120120122100
41322110000110313230
54122432011213312
6140155543215100
712326350464042
oct1722400246754
9415882516570
10131332132332
1150774623945
1221552a47490
13c4ccb8020b
1464dc392392
153639c9e5dc
hex1e94014dec

131332132332 has 36 divisors (see below), whose sum is σ = 335024129440. Its totient is φ = 43375748832.

The previous prime is 131332132319. The next prime is 131332132357. The reversal of 131332132332 is 233231233131.

131332132332 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 321 + 3 + 2 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131332132296 and 131332132305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16730548 + ... + 16738395.

Almost surely, 2131332132332 is an apocalyptic number.

131332132332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131332132332 is an abundant number, since it is smaller than the sum of its proper divisors (203691997108).

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

131332132332 is a wasteful number, since it uses less digits than its factorization.

131332132332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33469062 (or 33469057 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 131332132332 its reverse (233231233131), we get a palindrome (364563365463).

The spelling of 131332132332 in words is "one hundred thirty-one billion, three hundred thirty-two million, one hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 33468943 66937886 100406829 133875772 200813658 301220487 401627316 602440974 1204881948 3648114787 7296229574 10944344361 14592459148 21888688722 32833033083 43777377444 65666066166 131332132332