Search a number
-
+
131233433320420 = 22543371879780489
BaseRepresentation
bin11101110101101100101010…
…001011001111101111100100
3122012122210102121102001022221
4131311230222023033233210
5114200112032412223140
61143035450150402124
736433205550016054
oct3565545213175744
9565583377361287
10131233433320420
11388a6871951842
1212875b03360344
13582c34b626212
142459a36ad3564
151028a394e814a
hex775b2a2cfbe4

131233433320420 has 48 divisors (see below), whose sum is σ = 275671843639920. Its totient is φ = 52477825716224.

The previous prime is 131233433320417. The next prime is 131233433320421. The reversal of 131233433320420 is 24023334332131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1102285810404 + 130131147510016 = 1049898^2 + 11407504^2 .

It is not an unprimeable number, because it can be changed into a prime (131233433320421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1630411536 + ... + 1630492024.

It is an arithmetic number, because the mean of its divisors is an integer number (5743163409165).

Almost surely, 2131233433320420 is an apocalyptic number.

131233433320420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131233433320420 is an abundant number, since it is smaller than the sum of its proper divisors (144438410319500).

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

131233433320420 is a wasteful number, since it uses less digits than its factorization.

131233433320420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103632 (or 103630 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 34.

Adding to 131233433320420 its reverse (24023334332131), we get a palindrome (155256767652551).

The spelling of 131233433320420 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, four hundred thirty-three million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 4337 8674 17348 18797 21685 37594 43370 75188 80489 86740 93985 160978 187970 321956 375940 402445 804890 1609780 81522589 163045178 326090356 349080793 407612945 698161586 815225890 1396323172 1512951733 1630451780 1745403965 3025903466 3490807930 6051806932 6981615860 7564758665 15129517330 30259034660 6561671666021 13123343332042 26246686664084 32808358330105 65616716660210 131233433320420