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101311131424 = 257194147387
BaseRepresentation
bin101111001011010011…
…1010010111100100000
3100200111112202201102211
41132112213102330200
53124441122201144
6114313001051504
710214404260046
oct1362647227440
9320445681384
10101311131424
1139a69546598
1217774a86b94
139727344259
144c9123c396
15297e3c8034
hex17969d2f20

101311131424 has 48 divisors (see below), whose sum is σ = 202484753856. Its totient is φ = 49887980800.

The previous prime is 101311131421. The next prime is 101311131461. The reversal of 101311131424 is 424131113101.

It is a super-2 number, since 2×1013111314242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101311131395 and 101311131404.

It is not an unprimeable number, because it can be changed into a prime (101311131421) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2114259 + ... + 2161645.

It is an arithmetic number, because the mean of its divisors is an integer number (4218432372).

Almost surely, 2101311131424 is an apocalyptic number.

It is an amenable number.

101311131424 is a deficient number, since it is larger than the sum of its proper divisors (101173622432).

101311131424 is an equidigital number, since it uses as much as digits as its factorization.

101311131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48409 (or 48401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101311131424 its reverse (424131113101), we get a palindrome (525442244525).

The spelling of 101311131424 in words is "one hundred one billion, three hundred eleven million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 71 142 284 568 941 1136 1882 2272 3764 7528 15056 30112 47387 66811 94774 133622 189548 267244 379096 534488 758192 1068976 1516384 2137952 3364477 6728954 13457908 26915816 44591167 53831632 89182334 107663264 178364668 356729336 713458672 1426917344 3165972857 6331945714 12663891428 25327782856 50655565712 101311131424