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101313320310 = 23252348943633
BaseRepresentation
bin101111001011010111…
…1101001010101110110
3100200111200212221000200
41132112233221111312
53124442202222220
6114313120021330
710214432004456
oct1362657512566
9320450787020
10101313320310
1139a6a801094
1217775761846
13972792c657
144c9164bd66
15297e6ab890
hex1796be9576

101313320310 has 48 divisors (see below), whose sum is σ = 274867448544. Its totient is φ = 25842237696.

The previous prime is 101313320267. The next prime is 101313320321. The reversal of 101313320310 is 13023313101.

It is a happy number.

101313320310 is a `hidden beast` number, since 1 + 0 + 1 + 31 + 3 + 320 + 310 = 666.

It is a super-2 number, since 2×1013133203102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 24469747 + ... + 24473886.

It is an arithmetic number, because the mean of its divisors is an integer number (5726405178).

Almost surely, 2101313320310 is an apocalyptic number.

101313320310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101313320310 is an abundant number, since it is smaller than the sum of its proper divisors (173554128234).

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

101313320310 is a wasteful number, since it uses less digits than its factorization.

101313320310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48943669 (or 48943666 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101313320310 its reverse (13023313101), we get a palindrome (114336633411).

The spelling of 101313320310 in words is "one hundred one billion, three hundred thirteen million, three hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 48943633 97887266 146830899 244718165 293661798 440492697 489436330 734154495 880985394 1125703559 1468308990 2202463485 2251407118 3377110677 4404926970 5628517795 6754221354 10131332031 11257035590 16885553385 20262664062 33771106770 50656660155 101313320310