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101003232320 = 2652922747947
BaseRepresentation
bin101111000010001000…
…0110000010001000000
3100122201002101211021022
41132010100300101000
53123323311413240
6114222241445012
710203645211034
oct1360420602100
9318632354238
10101003232320
1139920767421
12176a9940768
1396a860bc33
144c623b01c4
1529623589b5
hex1784430440

101003232320 has 112 divisors (see below), whose sum is σ = 249908811840. Its totient is φ = 38835492864.

The previous prime is 101003232307. The next prime is 101003232403. The reversal of 101003232320 is 23232300101.

101003232320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2082587 + ... + 2130533.

Almost surely, 2101003232320 is an apocalyptic number.

101003232320 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 101003232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124954405920).

101003232320 is an abundant number, since it is smaller than the sum of its proper divisors (148905579520).

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

101003232320 is a wasteful number, since it uses less digits than its factorization.

101003232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48220 (or 48210 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 101003232320 its reverse (23232300101), we get a palindrome (124235532421).

The spelling of 101003232320 in words is "one hundred one billion, three million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 227 232 290 320 454 464 580 908 928 1135 1160 1816 1856 2270 2320 3632 4540 4640 6583 7264 9080 9280 13166 14528 18160 26332 32915 36320 47947 52664 65830 72640 95894 105328 131660 191788 210656 239735 263320 383576 421312 479470 526640 767152 958940 1053280 1390463 1534304 1917880 2106560 2780926 3068608 3835760 5561852 6952315 7671520 10883969 11123704 13904630 15343040 21767938 22247408 27809260 43535876 44494816 54419845 55618520 87071752 88989632 108839690 111237040 174143504 217679380 222474080 315635101 348287008 435358760 444948160 631270202 696574016 870717520 1262540404 1578175505 1741435040 2525080808 3156351010 3482870080 5050161616 6312702020 10100323232 12625404040 20200646464 25250808080 50501616160 101003232320