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101330012220 = 223510756927739
BaseRepresentation
bin101111001011110111…
…1010100100000111100
3100200112212021222000120
41132113233110200330
53130010440342340
6114314513454540
710215023615103
oct1362757244074
9320485258016
10101330012220
1139a79171a58
121777b271450
13972b225118
144c9395503a
152980da74d0
hex1797bd483c

101330012220 has 96 divisors (see below), whose sum is σ = 286889299200. Its totient is φ = 26720792064.

The previous prime is 101330012191. The next prime is 101330012239. The reversal of 101330012220 is 22210033101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101330012220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3639111 + ... + 3666849.

It is an arithmetic number, because the mean of its divisors is an integer number (2988430200).

Almost surely, 2101330012220 is an apocalyptic number.

101330012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101330012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143444649600).

101330012220 is an abundant number, since it is smaller than the sum of its proper divisors (185559286980).

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

101330012220 is a wasteful number, since it uses less digits than its factorization.

101330012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28427 (or 28425 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101330012220 its reverse (22210033101), we get a palindrome (123540045321).

The spelling of 101330012220 in words is "one hundred one billion, three hundred thirty million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 569 642 1070 1138 1284 1605 1707 2140 2276 2845 3210 3414 5690 6420 6828 8535 11380 17070 27739 34140 55478 60883 83217 110956 121766 138695 166434 182649 243532 277390 304415 332868 365298 416085 554780 608830 730596 832170 913245 1217660 1664340 1826490 2968073 3652980 5936146 8904219 11872292 14840365 15783491 17808438 29680730 31566982 35616876 44521095 47350473 59361460 63133964 78917455 89042190 94700946 157834910 178084380 189401892 236752365 315669820 473504730 947009460 1688833537 3377667074 5066500611 6755334148 8444167685 10133001222 16888335370 20266002444 25332503055 33776670740 50665006110 101330012220