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30303001302320 = 2454720034023619
BaseRepresentation
bin1101110001111011101111…
…01000001101010100110000
310222021221100021002202000102
412320331313220031110300
512432441021313133240
6144241001232411532
76245214423100235
oct670756750152460
9128257307082012
1030303001302320
11972348126819a
123494b119a6ba8
1313ba739cba096
1476a95cd5378c
153783b5bd7815
hex1b8f77a0d530

30303001302320 has 80 divisors (see below), whose sum is σ = 71989450237440. Its totient is φ = 11857376923392.

The previous prime is 30303001302311. The next prime is 30303001302359. The reversal of 30303001302320 is 2320310030303.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 30303001302292 and 30303001302301.

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, 5519471 + ... + 9543089.

It is an arithmetic number, because the mean of its divisors is an integer number (899868127968).

Almost surely, 230303001302320 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 30303001302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35994725118720).

30303001302320 is an abundant number, since it is smaller than the sum of its proper divisors (41686448935120).

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

30303001302320 is a wasteful number, since it uses less digits than its factorization.

30303001302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025682 (or 4025676 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 30303001302320 its reverse (2320310030303), we get a palindrome (32623311332623).

The spelling of 30303001302320 in words is "thirty trillion, three hundred three billion, one million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 2003 3760 4006 8012 10015 16024 20030 32048 40060 80120 94141 160240 188282 376564 470705 753128 941410 1506256 1882820 3765640 4023619 7531280 8047238 16094476 20118095 32188952 40236190 64377904 80472380 160944760 189110093 321889520 378220186 756440372 945550465 1512880744 1891100930 3025761488 3782201860 7564403720 8059308857 15128807440 16118617714 32237235428 40296544285 64474470856 80593088570 128948941712 161186177140 322372354280 378787516279 644744708560 757575032558 1515150065116 1893937581395 3030300130232 3787875162790 6060600260464 7575750325580 15151500651160 30303001302320