Search a number
-
+
20109642120 = 2333585721727
BaseRepresentation
bin10010101110101000…
…001100100110001000
31220220110211122222000
4102232220030212020
5312141032021440
613123243231000
71311223065141
oct225650144610
956813748860
1020109642120
11858a406847
123a92818460
131b86316129
14d8aaa6ac8
157ca6c7730
hex4aea0c988

20109642120 has 128 divisors (see below), whose sum is σ = 67113446400. Its totient is φ = 5356067328.

The previous prime is 20109642101. The next prime is 20109642131. The reversal of 20109642120 is 2124690102.

20109642120 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 9 + 642 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914697 + ... + 936423.

It is an arithmetic number, because the mean of its divisors is an integer number (524323800).

Almost surely, 220109642120 is an apocalyptic number.

20109642120 is a gapful number since it is divisible by the number (20) 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 20109642120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33556723200).

20109642120 is an abundant number, since it is smaller than the sum of its proper divisors (47003804280).

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

20109642120 is a wasteful number, since it uses less digits than its factorization.

20109642120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22604 (or 22594 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20109642120 in words is "twenty billion, one hundred nine million, six hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 857 1080 1714 2571 3428 4285 5142 6856 7713 8570 10284 12855 15426 17140 20568 21727 23139 25710 30852 34280 38565 43454 46278 51420 61704 65181 77130 86908 92556 102840 108635 115695 130362 154260 173816 185112 195543 217270 231390 260724 308520 325905 391086 434540 462780 521448 586629 651810 782172 869080 925560 977715 1173258 1303620 1564344 1955430 2346516 2607240 2933145 3910860 4693032 5866290 7821720 11732580 18620039 23465160 37240078 55860117 74480156 93100195 111720234 148960312 167580351 186200390 223440468 279300585 335160702 372400780 446880936 502741053 558601170 670321404 744801560 837901755 1005482106 1117202340 1340642808 1675803510 2010964212 2234404680 2513705265 3351607020 4021928424 5027410530 6703214040 10054821060 20109642120