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21044130100 = 22527891512237
BaseRepresentation
bin10011100110010100…
…111111000100110100
32000022121020120110221
4103212110333010310
5321044244130400
613400104424124
71343331103660
oct234624770464
960277216427
1021044130100
118a19954464
1240b3778044
131ca4ac64b6
141038c3d8a0
15832767c1a
hex4e653f134

21044130100 has 144 divisors (see below), whose sum is σ = 53149098240. Its totient is φ = 7083648000.

The previous prime is 21044130077. The next prime is 21044130109. The reversal of 21044130100 is 103144012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21044130109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9406182 + ... + 9408418.

It is an arithmetic number, because the mean of its divisors is an integer number (369090960).

Almost surely, 221044130100 is an apocalyptic number.

21044130100 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 21044130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26574549120).

21044130100 is an abundant number, since it is smaller than the sum of its proper divisors (32104968140).

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

21044130100 is a wasteful number, since it uses less digits than its factorization.

21044130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21044130100 its reverse (103144012), we get a palindrome (21147274112).

The spelling of 21044130100 in words is "twenty-one billion, forty-four million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 89 100 140 151 175 178 302 350 356 445 604 623 700 755 890 1057 1246 1510 1780 2114 2225 2237 2492 3020 3115 3775 4228 4450 4474 5285 6230 7550 8900 8948 10570 11185 12460 13439 15100 15575 15659 21140 22370 26425 26878 31150 31318 44740 52850 53756 55925 62300 62636 67195 78295 94073 105700 111850 134390 156590 188146 199093 223700 268780 313180 335975 337787 376292 391475 398186 470365 671950 675574 782950 796372 940730 995465 1343900 1351148 1393651 1565900 1688935 1881460 1990930 2351825 2364509 2787302 3377870 3981860 4703650 4729018 4977325 5574604 6755740 6968255 8444675 9407300 9458036 9954650 11822545 13936510 16889350 19909300 23645090 27873020 30063043 33778700 34841275 47290180 59112725 60126086 69682550 118225450 120252172 139365100 150315215 210441301 236450900 300630430 420882602 601260860 751576075 841765204 1052206505 1503152150 2104413010 3006304300 4208826020 5261032525 10522065050 21044130100