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1312531002 = 232174289317
BaseRepresentation
bin100111000111011…
…1010001000111010
310101110202111001100
41032032322020322
510142001443002
6334124032230
744345220666
oct11616721072
93343674040
101312531002
11613986a72
12307692676
1317bc04883
14c64638a6
157a36811c
hex4e3ba23a

1312531002 has 24 divisors (see below), whose sum is σ = 3011101236. Its totient is φ = 411774336.

The previous prime is 1312530997. The next prime is 1312531009. The reversal of 1312531002 is 2001352131.

1312531002 is a `hidden beast` number, since 131 + 2 + 531 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1280279961 + 32251041 = 35781^2 + 5679^2 .

It is a super-2 number, since 2×13125310022 = 3445475262422248008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1312531009) 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, 2144353 + ... + 2144964.

Almost surely, 21312531002 is an apocalyptic number.

1312531002 is an abundant number, since it is smaller than the sum of its proper divisors (1698570234).

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

1312531002 is a wasteful number, since it uses less digits than its factorization.

1312531002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289342 (or 4289339 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1312531002 is about 36228.8697311964. The cubic root of 1312531002 is about 1094.8884054662. Note that the first 3 decimals are identical.

Adding to 1312531002 its reverse (2001352131), we get a palindrome (3313883133).

The spelling of 1312531002 in words is "one billion, three hundred twelve million, five hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 4289317 8578634 12867951 25735902 38603853 72918389 77207706 145836778 218755167 437510334 656265501 1312531002