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131303323231002 = 23213561125312953
BaseRepresentation
bin11101110110101101101111…
…111100000110001100011010
3122012220110211100121100220200
4131312231233330012030122
5114202233201221343002
61143131525230003030
736441231516322236
oct3566555774061432
9565813740540820
10131303323231002
113892347699101a
1212887569346476
135835b090068b0
14245d186c4d5c6
15102a77a10eb1c
hex776b6ff0631a

131303323231002 has 24 divisors (see below), whose sum is σ = 306374420872884. Its totient is φ = 40401022532544.

The previous prime is 131303323230979. The next prime is 131303323231043. The reversal of 131303323231002 is 200132323303131.

131303323231002 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 332 + 323 + 1 + 0 + 0 + 2 = 666.

131303323231002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 127523289049641 + 3780034181361 = 11292621^2 + 1944231^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280562656243 + ... + 280562656710.

Almost surely, 2131303323231002 is an apocalyptic number.

131303323231002 is an abundant number, since it is smaller than the sum of its proper divisors (175071097641882).

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

131303323231002 is a wasteful number, since it uses less digits than its factorization.

131303323231002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561125312974 (or 561125312971 counting only the distinct ones).

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

Adding to 131303323231002 its reverse (200132323303131), we get a palindrome (331435646534133).

The spelling of 131303323231002 in words is "one hundred thirty-one trillion, three hundred three billion, three hundred twenty-three million, two hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 561125312953 1122250625906 1683375938859 3366751877718 5050127816577 7294629068389 10100255633154 14589258136778 21883887205167 43767774410334 65651661615501 131303323231002