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102132130410 = 23257115983119
BaseRepresentation
bin101111100011110001…
…1001010001001101010
3100202121202121210022200
41133013203022021222
53133131311133120
6114530250001030
710243633533102
oct1370743121152
9322552553280
10102132130410
113a34aa1a252
1217963a16176
13982846a17b
144d2c2b2202
1529cb4ebe90
hex17c78ca26a

102132130410 has 48 divisors (see below), whose sum is σ = 269283605760. Its totient is φ = 26851638240.

The previous prime is 102132130379. The next prime is 102132130427. The reversal of 102132130410 is 14031231201.

102132130410 is a `hidden beast` number, since 10 + 21 + 321 + 304 + 10 = 666.

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 23 ways as a sum of consecutive naturals, for example, 7985170 + ... + 7997949.

It is an arithmetic number, because the mean of its divisors is an integer number (5610075120).

Almost surely, 2102132130410 is an apocalyptic number.

102132130410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102132130410 is an abundant number, since it is smaller than the sum of its proper divisors (167151475350).

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

102132130410 is a wasteful number, since it uses less digits than its factorization.

102132130410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15983203 (or 15983200 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102132130410 its reverse (14031231201), we get a palindrome (116163361611).

The spelling of 102132130410 in words is "one hundred two billion, one hundred thirty-two million, one hundred thirty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 15983119 31966238 47949357 79915595 95898714 143848071 159831190 239746785 287696142 479493570 719240355 1134801449 1438480710 2269602898 3404404347 5674007245 6808808694 10213213041 11348014490 17022021735 20426426082 34044043470 51066065205 102132130410