Search a number
-
+
30023001003200 = 26521732626963
BaseRepresentation
bin1101101001110010001100…
…10011110101010011000000
310221022011121120010210012112
412310321012103311103000
512413344101224100300
6143504213134314452
76216042644604452
oct664710623652300
9127264546123175
1030023001003200
119625757406207
12344a7aa358a28
13139a20678cc0a
1475b19a05a2d2
15370e79235e35
hex1b4e464f54c0

30023001003200 has 126 divisors (see below), whose sum is σ = 74304958838604. Its totient is φ = 11939764014080.

The previous prime is 30023001003143. The next prime is 30023001003209. The reversal of 30023001003200 is 230010032003.

It is not an unprimeable number, because it can be changed into a prime (30023001003209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47572919 + ... + 48199881.

Almost surely, 230023001003200 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 30023001003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37152479419302).

30023001003200 is an abundant number, since it is smaller than the sum of its proper divisors (44281957835404).

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

30023001003200 is an equidigital number, since it uses as much as digits as its factorization.

30023001003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627331 (or 627143 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 30023001003200 its reverse (230010032003), we get a palindrome (30253011035203).

The spelling of 30023001003200 in words is "thirty trillion, twenty-three billion, one million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 173 200 320 346 400 692 800 865 1384 1600 1730 2768 3460 4325 5536 6920 8650 11072 13840 17300 27680 29929 34600 55360 59858 69200 119716 138400 149645 239432 276800 299290 478864 598580 626963 748225 957728 1197160 1253926 1496450 1915456 2394320 2507852 2992900 3134815 4788640 5015704 5985800 6269630 9577280 10031408 11971600 12539260 15674075 20062816 23943200 25078520 31348150 40125632 47886400 50157040 62696300 100314080 108464599 125392600 200628160 216929198 250785200 433858396 501570400 542322995 867716792 1003140800 1084645990 1735433584 2169291980 2711614975 3470867168 4338583960 5423229950 6941734336 8677167920 10846459900 17354335840 18764375627 21692919800 34708671680 37528751254 43385839600 75057502508 86771679200 93821878135 150115005016 173543358400 187643756270 300230010032 375287512540 469109390675 600460020064 750575025080 938218781350 1200920040128 1501150050160 1876437562700 3002300100320 3752875125400 6004600200640 7505750250800 15011500501600 30023001003200