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30212023002320 = 2455919933211667
BaseRepresentation
bin1101101111010010010001…
…11001100010010011010000
310221222020111211101020120202
412313221020321202103100
512424443210342033240
6144131113423554332
76235514044232135
oct667511071422320
9127866454336522
1030212023002320
1196989353a4905
12347b36145b9a8
1313b1c9b5b7a83
147663ac15658c
15375d3da14315
hex1b7a48e624d0

30212023002320 has 80 divisors (see below), whose sum is σ = 71469376470720. Its totient is φ = 11874017375232.

The previous prime is 30212023002277. The next prime is 30212023002361. The reversal of 30212023002320 is 2320032021203.

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 = 30212023002292 and 30212023002301.

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, 7801127 + ... + 11012793.

It is an arithmetic number, because the mean of its divisors is an integer number (893367205884).

Almost surely, 230212023002320 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 30212023002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35734688235360).

30212023002320 is an abundant number, since it is smaller than the sum of its proper divisors (41257353468400).

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

30212023002320 is a wasteful number, since it uses less digits than its factorization.

30212023002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213732 (or 3213726 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30212023002320 its reverse (2320032021203), we get a palindrome (32532055023523).

The spelling of 30212023002320 in words is "thirty trillion, two hundred twelve billion, twenty-three million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 1993 2360 3986 4720 7972 9965 15944 19930 31888 39860 79720 117587 159440 235174 470348 587935 940696 1175870 1881392 2351740 3211667 4703480 6423334 9406960 12846668 16058335 25693336 32116670 51386672 64233340 128466680 189488353 256933360 378976706 757953412 947441765 1515906824 1894883530 3031813648 3789767060 6400852331 7579534120 12801704662 15159068240 25603409324 32004261655 51206818648 64008523310 102413637296 128017046620 256034093240 377650287529 512068186480 755300575058 1510601150116 1888251437645 3021202300232 3776502875290 6042404600464 7553005750580 15106011501160 30212023002320