Search a number
-
+
2041421101220 = 2256718128332971
BaseRepresentation
bin11101101101001110001…
…011011111100010100100
321020011021010221210212002
4131231032023133202210
5231421312300214340
64201452122544432
7300326214025064
oct35551613374244
97204233853762
102041421101220
11717841aa0246
1228b783968118
1311a674b72b17
1470b3baa33a4
153817e626715
hex1db4e2df8a4

2041421101220 has 96 divisors (see below), whose sum is σ = 4378025049216. Its totient is φ = 799385241600.

The previous prime is 2041421101183. The next prime is 2041421101243. The reversal of 2041421101220 is 221011241402.

It is a super-2 number, since 2×20414211012202 (a number of 25 digits) contains 22 as substring.

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 = 2041421101192 and 2041421101201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687114335 + ... + 687117305.

It is an arithmetic number, because the mean of its divisors is an integer number (45604427596).

Almost surely, 22041421101220 is an apocalyptic number.

2041421101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041421101220 is an abundant number, since it is smaller than the sum of its proper divisors (2336603947996).

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

2041421101220 is a wasteful number, since it uses less digits than its factorization.

2041421101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6061 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2041421101220 its reverse (221011241402), we get a palindrome (2262432342622).

The spelling of 2041421101220 in words is "two trillion, forty-one billion, four hundred twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 67 134 181 268 335 362 670 724 905 1340 1810 2833 2971 3620 5666 5942 11332 11884 12127 14165 14855 24254 28330 29710 48508 56660 59420 60635 121270 189811 199057 242540 379622 398114 512773 537751 759244 796228 949055 995285 1025546 1075502 1898110 1990570 2051092 2151004 2563865 2688755 3796220 3981140 5127730 5377510 8416843 10255460 10755020 16833686 33667372 34355791 36029317 42084215 68711582 72058634 84168430 137423164 144117268 168336860 171778955 180146585 343557910 360293170 563928481 687115820 720586340 1127856962 1523448583 2255713924 2819642405 3046897166 5639284810 6093794332 7617242915 11278569620 15234485830 30468971660 102071055061 204142110122 408284220244 510355275305 1020710550610 2041421101220