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101120112223 = 13251112927449
BaseRepresentation
bin101111000101100111…
…0100111011001011111
3100200000020022221100121
41132023032213121133
53124043222042343
6114242014535411
710206564525544
oct1361316473137
9320006287317
10101120112223
1139980737a89
1217720b07567
1396c68b2940
144c73b16bcb
15296c744aed
hex178b3a765f

101120112223 has 16 divisors (see below), whose sum is σ = 109433268000. Its totient is φ = 92884032000.

The previous prime is 101120112221. The next prime is 101120112263. The reversal of 101120112223 is 322211021101.

It is a cyclic number.

It is not a de Polignac number, because 101120112223 - 21 = 101120112221 is a prime.

It is a super-2 number, since 2×1011201122232 (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 = 101120112197 and 101120112206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120112221) by changing a digit.

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, 3670203 + ... + 3697651.

It is an arithmetic number, because the mean of its divisors is an integer number (6839579250).

Almost surely, 2101120112223 is an apocalyptic number.

101120112223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101120112223 is a deficient number, since it is larger than the sum of its proper divisors (8313155777).

101120112223 is a wasteful number, since it uses less digits than its factorization.

101120112223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28842.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101120112223 its reverse (322211021101), we get a palindrome (423331133324).

The spelling of 101120112223 in words is "one hundred one billion, one hundred twenty million, one hundred twelve thousand, two hundred twenty-three".

Divisors: 1 13 251 1129 3263 14677 27449 283379 356837 3683927 6889699 30989921 89566087 402868973 7778470171 101120112223