Search a number
-
+
21001200010000 = 24547300017143
BaseRepresentation
bin1001100011001101110010…
…00100010000001100010000
32202100200202201220202101121
410301212321010100030100
510223040424200310000
6112355452413012024
74265200212500230
oct461467104201420
982320681822347
1021001200010000
1167676169a6231
12243220b484014
13b94535078462
1452866bbd7cc0
15266451b3ab1a
hex1319b9110310

21001200010000 has 100 divisors (see below), whose sum is σ = 58109720587072. Its totient is φ = 7200411408000.

The previous prime is 21001200009991. The next prime is 21001200010001. The reversal of 21001200010000 is 1000210012.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (21001200010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149938572 + ... + 150078571.

Almost surely, 221001200010000 is an apocalyptic number.

21001200010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001200010000 is an abundant number, since it is smaller than the sum of its proper divisors (37108520577072).

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

21001200010000 is an equidigital number, since it uses as much as digits as its factorization.

21001200010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300017178 (or 300017157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 21001200010000 its reverse (1000210012), we get a palindrome (21002200220012).

The spelling of 21001200010000 in words is "twenty-one trillion, one billion, two hundred million, ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 300017143 600034286 1200068572 1500085715 2100120001 2400137144 3000171430 4200240002 4800274288 6000342860 7500428575 8400480004 10500600005 12000685720 15000857150 16800960008 21001200010 24001371440 30001714300 33601920016 37502142875 42002400020 52503000025 60003428600 75004285750 84004800040 105006000050 120006857200 150008571500 168009600080 187510714375 210012000100 262515000125 300017143000 375021428750 420024000200 525030000250 600034286000 750042857500 840048000400 1050060000500 1312575000625 1500085715000 2100120001000 2625150001250 3000171430000 4200240002000 5250300002500 10500600005000 21001200010000