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130622130 = 23252336229
BaseRepresentation
bin1111100100100…
…10001010110010
3100002210021212200
413302102022302
5231414402010
620543404030
73144161352
oct762221262
9302707780
10130622130
1167807381
12378b3616
13210a5a02
14134c2b62
15b702cc0
hex7c922b2

130622130 has 48 divisors (see below), whose sum is σ = 341129880. Its totient is φ = 34677504.

The previous prime is 130622123. The next prime is 130622147. The reversal of 130622130 is 31226031.

130622130 is a `hidden beast` number, since 1 + 30 + 622 + 13 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86545809 + 44076321 = 9303^2 + 6639^2 .

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 23 ways as a sum of consecutive naturals, for example, 17856 + ... + 24084.

Almost surely, 2130622130 is an apocalyptic number.

130622130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130622130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170564940).

130622130 is an abundant number, since it is smaller than the sum of its proper divisors (210507750).

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

130622130 is a wasteful number, since it uses less digits than its factorization.

130622130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6475 (or 6472 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130622130 is about 11429.0038936033. The cubic root of 130622130 is about 507.3865147818.

Adding to 130622130 its reverse (31226031), we get a palindrome (161848161).

It can be divided in two parts, 1306 and 22130, that added together give a triangular number (23436 = T216).

The spelling of 130622130 in words is "one hundred thirty million, six hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 233 466 699 1165 1398 2097 2330 3495 4194 6229 6990 10485 12458 18687 20970 31145 37374 56061 62290 93435 112122 186870 280305 560610 1451357 2902714 4354071 7256785 8708142 13062213 14513570 21770355 26124426 43540710 65311065 130622130