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1020182130 = 2325113727851
BaseRepresentation
bin111100110011101…
…011111001110010
32122002122121210100
4330303223321302
54042131312010
6245122013230
734165255632
oct7463537162
92562577710
101020182130
11483958a30
122457a7216
13133485486
14996c26c2
155e86b2c0
hex3ccebe72

1020182130 has 96 divisors (see below), whose sum is σ = 2971919808. Its totient is φ = 240624000.

The previous prime is 1020182129. The next prime is 1020182153. The reversal of 1020182130 is 312810201.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22705 + ... + 50555.

It is an arithmetic number, because the mean of its divisors is an integer number (30957498).

Almost surely, 21020182130 is an apocalyptic number.

1020182130 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 1020182130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485959904).

1020182130 is an abundant number, since it is smaller than the sum of its proper divisors (1951737678).

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

1020182130 is a wasteful number, since it uses less digits than its factorization.

1020182130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27912 (or 27909 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1020182130 is about 31940.2900738237. The cubic root of 1020182130 is about 1006.6826197833.

Adding to 1020182130 its reverse (312810201), we get a palindrome (1332992331).

The spelling of 1020182130 in words is "one billion, twenty million, one hundred eighty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 27851 36630 55702 83553 139255 167106 250659 278510 306361 417765 501318 612722 835530 919083 1030487 1253295 1531805 1838166 2060974 2506590 2757249 3063610 3091461 4595415 5152435 5514498 6182922 9190830 9274383 10304870 11335357 13786245 15457305 18548766 22670714 27572490 30914610 34006071 46371915 56676785 68012142 92743830 102018213 113353570 170030355 204036426 340060710 510091065 1020182130