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101311312332 = 22371118909991
BaseRepresentation
bin101111001011010011…
…1111111000111001100
3100200111120002220121010
41132112213333013030
53124441143443312
6114313005005220
710214405642346
oct1362647770714
9320446086533
10101311312332
1139a6965a4aa
1217774b53810
1397273a86b9
144c91288296
15297e41193c
hex17969ff1cc

101311312332 has 24 divisors (see below), whose sum is σ = 239722543872. Its totient is φ = 33294797200.

The previous prime is 101311312301. The next prime is 101311312357. The reversal of 101311312332 is 233213113101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101311312299 and 101311312308.

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 7 ways as a sum of consecutive naturals, for example, 59454144 + ... + 59455847.

It is an arithmetic number, because the mean of its divisors is an integer number (9988439328).

Almost surely, 2101311312332 is an apocalyptic number.

101311312332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101311312332 is an abundant number, since it is smaller than the sum of its proper divisors (138411231540).

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

101311312332 is a wasteful number, since it uses less digits than its factorization.

101311312332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118910069 (or 118910067 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101311312332 its reverse (233213113101), we get a palindrome (334524425433).

The spelling of 101311312332 in words is "one hundred one billion, three hundred eleven million, three hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 118909991 237819982 356729973 475639964 713459946 1426919892 8442609361 16885218722 25327828083 33770437444 50655656166 101311312332