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1313331002010 = 232547893047101
BaseRepresentation
bin10011000111001000101…
…000001011101010011010
311122112221021222112002100
4103013020220023222122
5133004200214031020
62443200321144230
7163612365216426
oct23071050135232
94575837875070
101313331002010
11466a87126325
12192647a8b076
1396b00c30001
14477cbc77b86
152426945ba90
hex131c8a0ba9a

1313331002010 has 48 divisors (see below), whose sum is σ = 3415374747720. Its totient is φ = 350148355200.

The previous prime is 1313331001987. The next prime is 1313331002041. The reversal of 1313331002010 is 102001333131.

It is a happy number.

1313331002010 is a `hidden beast` number, since 1 + 31 + 333 + 100 + 201 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 764734509081 + 548596492929 = 874491^2 + 740673^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092541 + ... + 1954560.

Almost surely, 21313331002010 is an apocalyptic number.

1313331002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313331002010 is an abundant number, since it is smaller than the sum of its proper divisors (2102043745710).

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

1313331002010 is a wasteful number, since it uses less digits than its factorization.

1313331002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051903 (or 3051900 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313331002010 its reverse (102001333131), we get a palindrome (1415332335141).

The spelling of 1313331002010 in words is "one trillion, three hundred thirteen billion, three hundred thirty-one million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4789 9578 14367 23945 28734 43101 47890 71835 86202 143670 215505 431010 3047101 6094202 9141303 15235505 18282606 27423909 30471010 45706515 54847818 91413030 137119545 274239090 14592566689 29185133378 43777700067 72962833445 87555400134 131333100201 145925666890 218888500335 262666200402 437777000670 656665501005 1313331002010