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102421023341130 = 232513175149372717
BaseRepresentation
bin10111010010011011000000…
…101101101011101001001010
3111102122100120012212010121200
4113102123000231223221022
5101411031223433404010
61001455322451045030
730400450303042134
oct2722330055535112
9442570505763550
10102421023341130
112a6a856a62474a
12b5a1a695a0776
13451c351713570
141b412bda12054
15bc9314ba3cc0
hex5d26c0b6ba4a

102421023341130 has 96 divisors (see below), whose sum is σ = 303648210435024. Its totient is φ = 23728309475328.

The previous prime is 102421023341129. The next prime is 102421023341137. The reversal of 102421023341130 is 31143320124201.

102421023341130 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 10 + 233 + 411 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31883651126721 + 70537372214409 = 5646561^2 + 8398653^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102421023341094 and 102421023341103.

It is not an unprimeable number, because it can be changed into a prime (102421023341137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2574666469 + ... + 2574706248.

Almost surely, 2102421023341130 is an apocalyptic number.

102421023341130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102421023341130 is an abundant number, since it is smaller than the sum of its proper divisors (201227187093894).

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

102421023341130 is a wasteful number, since it uses less digits than its factorization.

102421023341130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149372760 (or 5149372757 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102421023341130 its reverse (31143320124201), we get a palindrome (133564343465331).

The spelling of 102421023341130 in words is "one hundred two trillion, four hundred twenty-one billion, twenty-three million, three hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 5149372717 10298745434 15448118151 25746863585 30896236302 46344354453 51493727170 66941845321 77240590755 87539336189 92688708906 133883690642 154481181510 175078672378 200825535963 231721772265 262618008567 334709226605 401651071926 437696680945 463443544530 525236017134 602476607889 669418453210 787854025701 875393361890 1004127679815 1138011370457 1204953215778 1313090042835 1575708051402 2008255359630 2276022740914 2626180085670 3012383039445 3414034111371 3939270128505 5690056852285 6024766078890 6828068222742 7878540257010 10242102334113 11380113704570 17070170556855 20484204668226 34140341113710 51210511670565 102421023341130