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3781130130 = 2325137306661
BaseRepresentation
bin1110000101011111…
…0111011110010010
3100202111212022102200
43201113313132102
530220432131010
61423110424030
7162462035001
oct34127673622
910674768380
103781130130
111670393038
12896362016
1348348b50b
1427c25cc38
15171e3ecc0
hexe15f7792

3781130130 has 48 divisors (see below), whose sum is σ = 9902729304. Its totient is φ = 1000938240.

The previous prime is 3781130117. The next prime is 3781130141. The reversal of 3781130130 is 310311873.

It can be written as a sum of positive squares in 4 ways, for example, as 3079251081 + 701879049 = 55491^2 + 26493^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3781130094 and 3781130103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141001 + ... + 165660.

Almost surely, 23781130130 is an apocalyptic number.

3781130130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3781130130 is an abundant number, since it is smaller than the sum of its proper divisors (6121599174).

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

3781130130 is a wasteful number, since it uses less digits than its factorization.

3781130130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306811 (or 306808 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3781130130 is about 61490.8946918160. The cubic root of 3781130130 is about 1557.9034582971.

The spelling of 3781130130 in words is "three billion, seven hundred eighty-one million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 12330 306661 613322 919983 1533305 1839966 2759949 3066610 4599915 5519898 9199830 13799745 27599490 42012557 84025114 126037671 210062785 252075342 378113013 420125570 630188355 756226026 1260376710 1890565065 3781130130