Search a number
-
+
21220011201220 = 22513294915731823
BaseRepresentation
bin1001101001100101010110…
…01110101101001011000100
32210010121120001202222001221
410310302223032231023010
510240132040331414340
6113044201044130124
74320044442103306
oct464625316551304
983117501688057
1021220011201220
1168413a1133857
1224686b6996944
13bac0666988c0
145350a8345976
1526beab7a144a
hex134cab3ad2c4

21220011201220 has 96 divisors (see below), whose sum is σ = 49745812677120. Its totient is φ = 7549497392640.

The previous prime is 21220011201167. The next prime is 21220011201239. The reversal of 21220011201220 is 2210211002212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21220011201194 and 21220011201203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836229 + ... + 6568051.

It is an arithmetic number, because the mean of its divisors is an integer number (518185548720).

Almost surely, 221220011201220 is an apocalyptic number.

21220011201220 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 21220011201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24872906338560).

21220011201220 is an abundant number, since it is smaller than the sum of its proper divisors (28525801475900).

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

21220011201220 is a wasteful number, since it uses less digits than its factorization.

21220011201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732365 (or 5732363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21220011201220 its reverse (2210211002212), we get a palindrome (23430222203432).

The spelling of 21220011201220 in words is "twenty-one trillion, two hundred twenty billion, eleven million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 491 580 754 982 1508 1885 1964 2455 3770 4910 6383 7540 9820 12766 14239 25532 28478 31915 56956 63830 71195 127660 142390 185107 284780 370214 740428 925535 1851070 3702140 5731823 11463646 22927292 28659115 57318230 74513699 114636460 149027398 166222867 298054796 332445734 372568495 664891468 745136990 831114335 1490273980 1662228670 2160897271 2814325093 3324457340 4321794542 5628650186 8643589084 10804486355 11257300372 14071625465 21608972710 28143250930 36586226209 43217945420 56286501860 73172452418 81615427697 146344904836 163230855394 182931131045 326461710788 365862262090 408077138485 731724524180 816154276970 1061000560061 1632308553940 2122001120122 4244002240244 5305002800305 10610005600610 21220011201220