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131384390063809 = 2324983612
BaseRepresentation
bin11101110111111001001111…
…111001100001011011000001
3122020012020002001011011101211
4131313321033321201123001
5114210100212324020214
61143233053333330121
736450131444120461
oct3567711771413301
9566166061134354
10131384390063809
1138954897009403
121289b212496941
13584065817890c
142463077571ba1
15102c9220b20c4
hex777e4fe616c1

131384390063809 has 9 divisors (see below), whose sum is σ = 137345394129699. Its totient is φ = 125671773107760.

The previous prime is 131384390063807. The next prime is 131384390063837. The reversal of 131384390063809 is 908360093483131.

The square root of 131384390063809 is 11462303.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7606304750209 + 123778085313600 = 2757953^2 + 11125560^2 .

It is not a de Polignac number, because 131384390063809 - 21 = 131384390063807 is a prime.

It is a super-2 number, since 2×1313843900638092 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131384390063807) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 263383789 + ... + 263882149.

Almost surely, 2131384390063809 is an apocalyptic number.

131384390063809 is the 11462303-rd square number.

131384390063809 is the 5731152-nd centered octagonal number.

It is an amenable number.

131384390063809 is a deficient number, since it is larger than the sum of its proper divisors (5961004065890).

131384390063809 is an frugal number, since it uses more digits than its factorization.

131384390063809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996768 (or 498384 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 58.

The spelling of 131384390063809 in words is "one hundred thirty-one trillion, three hundred eighty-four billion, three hundred ninety million, sixty-three thousand, eight hundred nine".

Divisors: 1 23 529 498361 11462303 263632969 248363686321 5712364785383 131384390063809