Search a number
-
+
21202012012220 = 22513220633040613
BaseRepresentation
bin1001101001000011110100…
…11001001111111010111100
32210001220002200010102112022
410310201322121033322330
510234333210033342340
6113032023031055312
74315536423366524
oct464417231177274
983056080112468
1021202012012220
1168347a5055746
122465112b11538
13baa458690500
1453427ba8a684
1526b7a65083b5
hex13487a64febc

21202012012220 has 72 divisors (see below), whose sum is σ = 48236008597056. Its totient is φ = 7824637946112.

The previous prime is 21202012012201. The next prime is 21202012012243. The reversal of 21202012012220 is 2221021020212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5452634 + ... + 8493246.

It is an arithmetic number, because the mean of its divisors is an integer number (669944563848).

Almost surely, 221202012012220 is an apocalyptic number.

21202012012220 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 21202012012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24118004298528).

21202012012220 is an abundant number, since it is smaller than the sum of its proper divisors (27033996584836).

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

21202012012220 is a wasteful number, since it uses less digits than its factorization.

21202012012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042711 (or 3042696 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21202012012220 its reverse (2221021020212), we get a palindrome (23423033032432).

The spelling of 21202012012220 in words is "twenty-one trillion, two hundred two billion, twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 2063 3380 4126 8252 10315 20630 26819 41260 53638 107276 134095 268190 348647 536380 697294 1394588 1743235 3040613 3486470 6081226 6972940 12162452 15203065 30406130 39527969 60812260 79055938 158111876 197639845 395279690 513863597 790559380 1027727194 2055454388 2569317985 5138635970 6272784619 10277271940 12545569238 25091138476 31363923095 62727846190 81546200047 125455692380 163092400094 326184800188 407731000235 815462000470 1060100600611 1630924000940 2120201201222 4240402402444 5300503003055 10601006006110 21202012012220