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130314820 = 2257191771
BaseRepresentation
bin1111100010001…
…11001001000100
3100002012200022211
413301013021010
5231330033240
620533033204
73141441406
oct761071104
9302180284
10130314820
11676174a9
1237785804
1320cc8b7c
1413442b76
15b691bea
hex7c47244

130314820 has 24 divisors (see below), whose sum is σ = 277518528. Its totient is φ = 51391200.

The previous prime is 130314817. The next prime is 130314823. The reversal of 130314820 is 28413031.

It is an interprime number because it is at equal distance from previous prime (130314817) and next prime (130314823).

It is a junction number, because it is equal to n+sod(n) for n = 130314791 and 130314800.

It is not an unprimeable number, because it can be changed into a prime (130314823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44466 + ... + 47305.

It is an arithmetic number, because the mean of its divisors is an integer number (11563272).

Almost surely, 2130314820 is an apocalyptic number.

130314820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130314820 is an abundant number, since it is smaller than the sum of its proper divisors (147203708).

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

130314820 is a wasteful number, since it uses less digits than its factorization.

130314820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91851 (or 91849 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 130314820 is about 11415.5516730467. The cubic root of 130314820 is about 506.9882989777.

Adding to 130314820 its reverse (28413031), we get a palindrome (158727851).

The spelling of 130314820 in words is "one hundred thirty million, three hundred fourteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 91771 183542 367084 458855 917710 1835420 6515741 13031482 26062964 32578705 65157410 130314820