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101313332223132 = 22329450136467693
BaseRepresentation
bin10111000010010011011001…
…001011011001110010011100
3111021201110102022121002102210
4113002103121023121302130
5101234404201022120012
6555250411410120420
730224434550636061
oct2702233113316234
9437643368532383
10101313332223132
112a310819896997
12b443251b80110
13446ba633b29c3
141b0383ccc6c68
15baa5d3dbd23c
hex5c24d92d9c9c

101313332223132 has 48 divisors (see below), whose sum is σ = 244554893281440. Its totient is φ = 32605860258048.

The previous prime is 101313332223109. The next prime is 101313332223203. The reversal of 101313332223132 is 231322233313101.

It is a self number, because there is not a number n which added to its sum of digits gives 101313332223132.

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 15 ways as a sum of consecutive naturals, for example, 12430678 + ... + 18898370.

It is an arithmetic number, because the mean of its divisors is an integer number (5094893610030).

Almost surely, 2101313332223132 is an apocalyptic number.

101313332223132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101313332223132 is an abundant number, since it is smaller than the sum of its proper divisors (143241561058308).

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

101313332223132 is a wasteful number, since it uses less digits than its factorization.

101313332223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512742 (or 6512740 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 101313332223132 its reverse (231322233313101), we get a palindrome (332635565536233).

The spelling of 101313332223132 in words is "one hundred one trillion, three hundred thirteen billion, three hundred thirty-two million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 45013 90026 135039 180052 270078 540156 1305377 2610754 3916131 5221508 6467693 7832262 12935386 15664524 19403079 25870772 38806158 77612316 187563097 375126194 562689291 750252388 1125378582 2250757164 291130265009 582260530018 873390795027 1164521060036 1746781590054 3493563180108 8442777685261 16885555370522 25328333055783 33771110741044 50656666111566 101313332223132