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101130023011 = 1717358495879
BaseRepresentation
bin101111000101111010…
…0011011000001100011
3100200000220222110101211
41132023310123001203
53124103241214021
6114243011210551
710210045004143
oct1361364330143
9320026873354
10101130023011
1139986297116
12177242a6a57
1396c8972a04
144c75176923
15296d5513e1
hex178bd1b063

101130023011 has 16 divisors (see below), whose sum is σ = 107734536000. Its totient is φ = 94598745088.

The previous prime is 101130022997. The next prime is 101130023021. The reversal of 101130023011 is 110320031101.

It is not a de Polignac number, because 101130023011 - 213 = 101130014819 is a prime.

It is a super-2 number, since 2×1011300230112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101130022982 and 101130023000.

It is not an unprimeable number, because it can be changed into a prime (101130023021) 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 15 ways as a sum of consecutive naturals, for example, 17198970 + ... + 17204848.

It is an arithmetic number, because the mean of its divisors is an integer number (6733408500).

Almost surely, 2101130023011 is an apocalyptic number.

101130023011 is a deficient number, since it is larger than the sum of its proper divisors (6604512989).

101130023011 is a wasteful number, since it uses less digits than its factorization.

101130023011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11918.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101130023011 its reverse (110320031101), we get a palindrome (211450054112).

The spelling of 101130023011 in words is "one hundred one billion, one hundred thirty million, twenty-three thousand, eleven".

Divisors: 1 17 173 2941 5849 5879 99433 99943 1011877 1017067 17201909 17290139 34386271 584566607 5948824883 101130023011