Search a number
-
+
11313020201000 = 2353710116001443
BaseRepresentation
bin1010010010100000010010…
…0011001110100000101000
31111001111212211101110002012
42210220010203032200220
52440323031132413000
640021044004455052
72245224121040450
oct244500443164050
944044784343065
1011313020201000
113671908a78a01
1213286576aa488
13640a758783bb
142b17a59c0d60
15149426e5a735
hexa4a048ce828

11313020201000 has 128 divisors (see below), whose sum is σ = 30553797231360. Its totient is φ = 3840346080000.

The previous prime is 11313020200997. The next prime is 11313020201003. The reversal of 11313020201000 is 10202031311.

It is an interprime number because it is at equal distance from previous prime (11313020200997) and next prime (11313020201003).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11313020201003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7293722 + ... + 8707721.

It is an arithmetic number, because the mean of its divisors is an integer number (238701540870).

Almost surely, 211313020201000 is an apocalyptic number.

11313020201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313020201000 is an abundant number, since it is smaller than the sum of its proper divisors (19240777030360).

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

11313020201000 is a wasteful number, since it uses less digits than its factorization.

11313020201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16001572 (or 16001558 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11313020201000 its reverse (10202031311), we get a palindrome (11323222232311).

The spelling of 11313020201000 in words is "eleven trillion, three hundred thirteen billion, twenty million, two hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 125 140 175 200 202 250 280 350 404 500 505 700 707 808 875 1000 1010 1400 1414 1750 2020 2525 2828 3500 3535 4040 5050 5656 7000 7070 10100 12625 14140 17675 20200 25250 28280 35350 50500 70700 88375 101000 141400 176750 353500 707000 16001443 32002886 64005772 80007215 112010101 128011544 160014430 224020202 320028860 400036075 448040404 560050505 640057720 800072150 896080808 1120101010 1600144300 1616145743 2000180375 2240202020 2800252525 3200288600 3232291486 4000360750 4480404040 5600505050 6464582972 8000721500 8080728715 11201010100 11313020201 12929165944 14001262625 16001443000 16161457430 22402020200 22626040402 28002525250 32322914860 40403643575 45252080804 56005050500 56565101005 64645829720 80807287150 90504161608 112010101000 113130202010 161614574300 202018217875 226260404020 282825505025 323229148600 404036435750 452520808040 565651010050 808072871500 1131302020100 1414127525125 1616145743000 2262604040200 2828255050250 5656510100500 11313020201000