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1313213130 = 232514591257
BaseRepresentation
bin100111001000110…
…0000101011001010
310101112001010202100
41032101200223022
510142140310010
6334150414230
744354061465
oct11621405312
93345033670
101313213130
11614302509
12307961376
1317c0b31b8
14c65a02dc
157a4502c0
hex4e460aca

1313213130 has 24 divisors (see below), whose sum is σ = 3414354372. Its totient is φ = 350190144.

The previous prime is 1313213123. The next prime is 1313213159. The reversal of 1313213130 is 313123131.

It is a happy number.

1313213130 is a `hidden beast` number, since 1 + 31 + 321 + 313 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1208744289 + 104468841 = 34767^2 + 10221^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7295539 + ... + 7295718.

Almost surely, 21313213130 is an apocalyptic number.

1313213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313213130 is an abundant number, since it is smaller than the sum of its proper divisors (2101141242).

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

1313213130 is a wasteful number, since it uses less digits than its factorization.

1313213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14591270 (or 14591267 counting only the distinct ones).

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

The square root of 1313213130 is about 36238.2826579848. The cubic root of 1313213130 is about 1095.0780453536.

Adding to 1313213130 its reverse (313123131), we get a palindrome (1626336261).

It can be divided in two parts, 13132 and 13130, that added together give a palindrome (26262).

The spelling of 1313213130 in words is "one billion, three hundred thirteen million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 14591257 29182514 43773771 72956285 87547542 131321313 145912570 218868855 262642626 437737710 656606565 1313213130