Search a number
-
+
20010330203100 = 22352835691412351
BaseRepresentation
bin1001000110011000001001…
…00111111010001111011100
32121211222011022120012021120
410203030010213322033130
510110322124012444400
6110320341354130540
74133461431216036
oct443140447721734
977758138505246
1020010330203100
116415373805576
1222b2177120a50
13b21c73515553
144d27101b6c56
1524a7abc1bca0
hex1233049fa3dc

20010330203100 has 144 divisors (see below), whose sum is σ = 58697123143680. Its totient is φ = 5262529088000.

The previous prime is 20010330203099. The next prime is 20010330203113. The reversal of 20010330203100 is 130203301002.

It is a super-2 number, since 2×200103302031002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20010330203100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13461925 + ... + 14874275.

It is an arithmetic number, because the mean of its divisors is an integer number (407618910720).

Almost surely, 220010330203100 is an apocalyptic number.

20010330203100 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 20010330203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29348561571840).

20010330203100 is an abundant number, since it is smaller than the sum of its proper divisors (38686792940580).

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

20010330203100 is a wasteful number, since it uses less digits than its factorization.

20010330203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413020 (or 1413013 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20010330203100 its reverse (130203301002), we get a palindrome (20140533504102).

The spelling of 20010330203100 in words is "twenty trillion, ten billion, three hundred thirty million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 569 830 996 1138 1245 1660 1707 2075 2276 2490 2845 3414 4150 4980 5690 6225 6828 8300 8535 11380 12450 14225 17070 24900 28450 34140 42675 47227 56900 85350 94454 141681 170700 188908 236135 283362 472270 566724 708405 944540 1180675 1412351 1416810 2361350 2824702 2833620 3542025 4237053 4722700 5649404 7061755 7084050 8474106 14123510 14168100 16948212 21185265 28247020 35308775 42370530 70617550 84741060 105926325 117225133 141235100 211852650 234450266 351675399 423705300 468900532 586125665 703350798 803627719 1172251330 1406701596 1607255438 1758376995 2344502660 2410883157 2930628325 3214510876 3516753990 4018138595 4821766314 5861256650 7033507980 8036277190 8791884975 9643532628 11722513300 12054415785 16072554380 17583769950 20090692975 24108831570 35167539900 40181385950 48217663140 60272078925 66701100677 80362771900 120544157850 133402201354 200103302031 241088315700 266804402708 333505503385 400206604062 667011006770 800413208124 1000516510155 1334022013540 1667527516925 2001033020310 3335055033850 4002066040620 5002582550775 6670110067700 10005165101550 20010330203100