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2130430104 = 2332113772701
BaseRepresentation
bin111111011111011…
…1100100010011000
312111110210001200200
41332332330202120
513330342230404
6551222302200
7103536233325
oct17676744230
95443701620
102130430104
119a3632740
124b5587960
1327c4b383a
14162d2bb4c
15c7078839
hex7efbc898

2130430104 has 96 divisors (see below), whose sum is σ = 6464661840. Its totient is φ = 628128000.

The previous prime is 2130430097. The next prime is 2130430111. The reversal of 2130430104 is 4010340312.

2130430104 is a `hidden beast` number, since 2 + 130 + 430 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (2130430097) and next prime (2130430111).

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

It is a congruent number.

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, 7047 + ... + 65654.

Almost surely, 22130430104 is an apocalyptic number.

2130430104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130430104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232330920).

2130430104 is an abundant number, since it is smaller than the sum of its proper divisors (4334231736).

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

2130430104 is a wasteful number, since it uses less digits than its factorization.

2130430104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72761 (or 72754 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2130430104 is about 46156.5824558101. The cubic root of 2130430104 is about 1286.7349483064.

Adding to 2130430104 its reverse (4010340312), we get a palindrome (6140770416).

It can be divided in two parts, 2130 and 430104, that added together give a palindrome (432234).

The spelling of 2130430104 in words is "two billion, one hundred thirty million, four hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 132 148 198 222 264 296 333 396 407 444 666 792 814 888 1221 1332 1628 2442 2664 3256 3663 4884 7326 9768 14652 29304 72701 145402 218103 290804 436206 581608 654309 799711 872412 1308618 1599422 1744824 2399133 2617236 2689937 3198844 4798266 5234472 5379874 6397688 7197399 8069811 9596532 10759748 14394798 16139622 19193064 21519496 24209433 28789596 29589307 32279244 48418866 57579192 59178614 64558488 88767921 96837732 118357228 177535842 193675464 236714456 266303763 355071684 532607526 710143368 1065215052 2130430104