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30020110320 = 2435617202729
BaseRepresentation
bin11011111101010101…
…101000011111110000
32212111011010121112210
4123331111220133300
5442440122012240
621442511052120
72111632504344
oct337525503760
985434117483
1030020110320
111180562a232
125999811040
132aa55b67b5
14164ada1624
15baa79c780
hex6fd5687f0

30020110320 has 80 divisors (see below), whose sum is σ = 93213632160. Its totient is φ = 7992348672.

The previous prime is 30020110279. The next prime is 30020110403. The reversal of 30020110320 is 2301102003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30020110296 and 30020110305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46716 + ... + 249444.

It is an arithmetic number, because the mean of its divisors is an integer number (1165170402).

Almost surely, 230020110320 is an apocalyptic number.

30020110320 is a gapful number since it is divisible by the number (30) 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 30020110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46606816080).

30020110320 is an abundant number, since it is smaller than the sum of its proper divisors (63193521840).

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

30020110320 is a wasteful number, since it uses less digits than its factorization.

30020110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203362 (or 203356 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30020110320 its reverse (2301102003), we get a palindrome (32321212323).

The spelling of 30020110320 in words is "thirty billion, twenty million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 617 1234 1851 2468 3085 3702 4936 6170 7404 9255 9872 12340 14808 18510 24680 29616 37020 49360 74040 148080 202729 405458 608187 810916 1013645 1216374 1621832 2027290 2432748 3040935 3243664 4054580 4865496 6081870 8109160 9730992 12163740 16218320 24327480 48654960 125083793 250167586 375251379 500335172 625418965 750502758 1000670344 1250837930 1501005516 1876256895 2001340688 2501675860 3002011032 3752513790 5003351720 6004022064 7505027580 10006703440 15010055160 30020110320