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1313123241210 = 23511371011064801
BaseRepresentation
bin10011000110111100001…
…111101000110011111010
311122112101211001011211220
4103012330033220303322
5133003234022204320
62443123540132510
7163604263250004
oct23067417506372
94575354034756
101313123241210
1146698a922590
121925aa397136
1396a99b89421
14477ac435374
15242560bce40
hex131bc3e8cfa

1313123241210 has 128 divisors (see below), whose sum is σ = 3565877084928. Its totient is φ = 306662400000.

The previous prime is 1313123241187. The next prime is 1313123241229. The reversal of 1313123241210 is 121423213131.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 700810 + ... + 1765610.

It is an arithmetic number, because the mean of its divisors is an integer number (27858414726).

Almost surely, 21313123241210 is an apocalyptic number.

1313123241210 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 1313123241210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782938542464).

1313123241210 is an abundant number, since it is smaller than the sum of its proper divisors (2252753843718).

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

1313123241210 is a wasteful number, since it uses less digits than its factorization.

1313123241210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064960.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1313123241210 its reverse (121423213131), we get a palindrome (1434546454341).

The spelling of 1313123241210 in words is "one trillion, three hundred thirteen billion, one hundred twenty-three million, two hundred forty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 101 110 111 165 185 202 222 303 330 370 407 505 555 606 814 1010 1110 1111 1221 1515 2035 2222 2442 3030 3333 3737 4070 5555 6105 6666 7474 11110 11211 12210 16665 18685 22422 33330 37370 41107 56055 82214 112110 123321 205535 246642 411070 616605 1064801 1233210 2129602 3194403 5324005 6388806 10648010 11712811 15972015 23425622 31944030 35138433 39397637 58564055 70276866 78795274 107544901 117128110 118192911 175692165 196988185 215089802 236385822 322634703 351384330 393976370 433374007 537724505 590964555 645269406 866748014 1075449010 1181929110 1182993911 1300122021 1613173515 2166870035 2365987822 2600244042 3226347030 3548981733 3979161337 4333740070 5914969555 6500610105 7097963466 7958322674 11829939110 11937484011 13001220210 17744908665 19895806685 23874968022 35489817330 39791613370 43770774707 59687420055 87541549414 119374840110 131312324121 218853873535 262624648242 437707747070 656561620605 1313123241210