Search a number
-
+
3201112021420 = 2252397264727103
BaseRepresentation
bin101110100101010001001…
…001010001100110101100
3102100000122000000111120001
4232211101021101212230
5404421334134141140
610450323124034044
7450162353143045
oct56452111214654
912300560014501
103201112021420
111024647313045
12438491b32924
131a2b2c34b701
14b0d129658cc
1558405625e9a
hex2e9512519ac

3201112021420 has 96 divisors (see below), whose sum is σ = 7089865187328. Its totient is φ = 1211644127232.

The previous prime is 3201112021391. The next prime is 3201112021423. The reversal of 3201112021420 is 241202111023.

It is not an unprimeable number, because it can be changed into a prime (3201112021423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118095589 + ... + 118122691.

It is an arithmetic number, because the mean of its divisors is an integer number (73852762368).

Almost surely, 23201112021420 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 3201112021420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544932593664).

3201112021420 is an abundant number, since it is smaller than the sum of its proper divisors (3888753165908).

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

3201112021420 is a wasteful number, since it uses less digits than its factorization.

3201112021420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29879 (or 29877 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 3201112021420 its reverse (241202111023), we get a palindrome (3442314132443).

The spelling of 3201112021420 in words is "three trillion, two hundred one billion, one hundred twelve million, twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 97 115 194 230 388 460 485 970 1940 2231 2647 4462 5294 8924 10588 11155 13235 22310 26470 27103 44620 52940 54206 60881 108412 121762 135515 243524 256759 271030 304405 513518 542060 608810 623369 1027036 1217620 1246738 1283795 2493476 2567590 2628991 3116845 5135180 5257982 5905457 6233690 10515964 11810914 12467380 13144955 23621828 26289910 29527285 52579820 59054570 60466793 71741641 118109140 120933586 143483282 241867172 286966564 302333965 358708205 604667930 717416410 1209335860 1434832820 1650057743 3300115486 6600230972 6958939177 8250288715 13917878354 16500577430 27835756708 33001154860 34794695885 69589391770 139178783540 160055601071 320111202142 640222404284 800278005355 1600556010710 3201112021420