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101130444323 = 412531135111
BaseRepresentation
bin101111000101111011…
…0000001111000100011
3100200000221202212022222
41132023312001320203
53124103343204243
6114243024221255
710210051410356
oct1361366017043
9320027685288
10101130444323
1139986554707
121772446a82b
1396c8a8c6cc
144c7524629d
15296d5d6168
hex178bd81e23

101130444323 has 12 divisors (see below), whose sum is σ = 105613090704. Its totient is φ = 96802180800.

The previous prime is 101130444301. The next prime is 101130444367. The reversal of 101130444323 is 323444031101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-101130444323 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101130444292 and 101130444301.

It is not an unprimeable number, because it can be changed into a prime (101130447323) 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 11 ways as a sum of consecutive naturals, for example, 478463 + ... + 656648.

It is an arithmetic number, because the mean of its divisors is an integer number (8801090892).

Almost surely, 2101130444323 is an apocalyptic number.

101130444323 is a deficient number, since it is larger than the sum of its proper divisors (4482646381).

101130444323 is an equidigital number, since it uses as much as digits as its factorization.

101130444323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135246 (or 1135205 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 101130444323 its reverse (323444031101), we get a palindrome (424574475424).

The spelling of 101130444323 in words is "one hundred one billion, one hundred thirty million, four hundred forty-four thousand, three hundred twenty-three".

Divisors: 1 41 53 1681 2173 89093 1135111 46539551 60160883 1908121591 2466596203 101130444323