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1313233040106 = 232135612107009
BaseRepresentation
bin10011000111000010110…
…010011111001011101010
311122112200110122112121200
4103013002302133023222
5133004000124240411
62443142501345030
7163610065443261
oct23070262371352
94575613575550
101313233040106
11466a368a7079
1219261b108176
1396ab68510a0
14477bcc575d8
1524260a5ae56
hex131c2c9f2ea

1313233040106 has 24 divisors (see below), whose sum is σ = 3064210427460. Its totient is φ = 404071704576.

The previous prime is 1313233040101. The next prime is 1313233040131. The reversal of 1313233040106 is 6010403323131.

1313233040106 is a `hidden beast` number, since 1 + 31 + 323 + 304 + 0 + 1 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1018393814025 + 294839226081 = 1009155^2 + 542991^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1313233040106.

It is not an unprimeable number, because it can be changed into a prime (1313233040101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2806053271 + ... + 2806053738.

Almost surely, 21313233040106 is an apocalyptic number.

1313233040106 is an abundant number, since it is smaller than the sum of its proper divisors (1750977387354).

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

1313233040106 is a wasteful number, since it uses less digits than its factorization.

1313233040106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612107030 (or 5612107027 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1313233040106 its reverse (6010403323131), we get a palindrome (7323636363237).

The spelling of 1313233040106 in words is "one trillion, three hundred thirteen billion, two hundred thirty-three million, forty thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 5612107009 11224214018 16836321027 33672642054 50508963081 72957391117 101017926162 145914782234 218872173351 437744346702 656616520053 1313233040106