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101444430330 = 232519315673727
BaseRepresentation
bin101111001111010001…
…1110010100111111010
3100200211211121000011100
41132132203302213322
53130224233232310
6114334122112230
710220613300435
oct1363643624772
9320754530140
10101444430330
113a027810a81
12177b164b676
139748b46449
144ca4c1a81c
15298ae58ec0
hex179e8f29fa

101444430330 has 96 divisors (see below), whose sum is σ = 265362499584. Its totient is φ = 26887292928.

The previous prime is 101444430301. The next prime is 101444430331. The reversal of 101444430330 is 33034444101.

It is a junction number, because it is equal to n+sod(n) for n = 101444430294 and 101444430303.

It is not an unprimeable number, because it can be changed into a prime (101444430331) 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 47 ways as a sum of consecutive naturals, for example, 27216927 + ... + 27220653.

It is an arithmetic number, because the mean of its divisors is an integer number (2764192704).

Almost surely, 2101444430330 is an apocalyptic number.

101444430330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101444430330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132681249792).

101444430330 is an abundant number, since it is smaller than the sum of its proper divisors (163918069254).

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

101444430330 is a wasteful number, since it uses less digits than its factorization.

101444430330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 101444430330 its reverse (33034444101), we get a palindrome (134478874431).

The spelling of 101444430330 in words is "one hundred one billion, four hundred forty-four million, four hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 579 965 1158 1567 1737 1930 2895 3134 3474 3727 4701 5790 7454 7835 8685 9402 11181 14103 15670 17370 18635 22362 23505 28206 33543 37270 47010 55905 67086 70515 111810 141030 167715 302431 335430 604862 719311 907293 1438622 1512155 1814586 2157933 2721879 3024310 3596555 4315866 4536465 5443758 5840209 6473799 7193110 9072930 10789665 11680418 12947598 13609395 17520627 21579330 27218790 29201045 32368995 35041254 52561881 58402090 64737990 87603135 105123762 175206270 262809405 525618810 1127160337 2254320674 3381481011 5635801685 6762962022 10144443033 11271603370 16907405055 20288886066 33814810110 50722215165 101444430330