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30200000320 = 2657113119311
BaseRepresentation
bin11100001000000011…
…110110111101000000
32212221200121222020101
4130020003312331000
5443322200002240
621512414452144
72116245524110
oct341003667500
985850558211
1030200000320
1111898127256
125a29b04054
132b0394c599
141666c2b040
15bbb48339a
hex7080f6f40

30200000320 has 112 divisors (see below), whose sum is σ = 82915158528. Its totient is φ = 10262568960.

The previous prime is 30200000317. The next prime is 30200000333. The reversal of 30200000320 is 2300000203.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 30200000297 and 30200000306.

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, 193465 + ... + 312775.

Almost surely, 230200000320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30200000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41457579264).

30200000320 is an abundant number, since it is smaller than the sum of its proper divisors (52715158208).

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

30200000320 is a wasteful number, since it uses less digits than its factorization.

30200000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119448 (or 119438 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

Adding to 30200000320 its reverse (2300000203), we get a palindrome (32500000523).

The spelling of 30200000320 in words is "thirty billion, two hundred million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 113 140 160 224 226 280 320 448 452 560 565 791 904 1120 1130 1582 1808 2240 2260 3164 3616 3955 4520 6328 7232 7910 9040 12656 15820 18080 25312 31640 36160 50624 63280 119311 126560 238622 253120 477244 596555 835177 954488 1193110 1670354 1908976 2386220 3340708 3817952 4175885 4772440 6681416 7635904 8351770 9544880 13362832 13482143 16703540 19089760 26725664 26964286 33407080 38179520 53451328 53928572 66814160 67410715 94375001 107857144 133628320 134821430 188750002 215714288 267256640 269642860 377500004 431428576 471875005 539285720 755000008 862857152 943750010 1078571440 1510000016 1887500020 2157142880 3020000032 3775000040 4314285760 6040000064 7550000080 15100000160 30200000320