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21221011000 = 2353729104537
BaseRepresentation
bin10011110000110111…
…101110111000111000
32000202221002001110101
4103300313232320320
5321430034323000
613425423525144
71350606421510
oct236067567070
960687061411
1021221011000
118aaa786722
124142a597b4
132002647757
141054524840
15843056e6a
hex4f0deee38

21221011000 has 128 divisors (see below), whose sum is σ = 58708540800. Its totient is φ = 7024819200.

The previous prime is 21221010997. The next prime is 21221011069. The reversal of 21221011000 is 11012212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 150732 + ... + 255268.

It is an arithmetic number, because the mean of its divisors is an integer number (458660475).

Almost surely, 221221011000 is an apocalyptic number.

21221011000 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 21221011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29354270400).

21221011000 is an abundant number, since it is smaller than the sum of its proper divisors (37487529800).

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

21221011000 is a wasteful number, since it uses less digits than its factorization.

21221011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104594 (or 104580 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21221011000 its reverse (11012212), we get a palindrome (21232023212).

The spelling of 21221011000 in words is "twenty-one billion, two hundred twenty-one million, eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 125 140 145 175 200 203 232 250 280 290 350 406 500 580 700 725 812 875 1000 1015 1160 1400 1450 1624 1750 2030 2900 3500 3625 4060 5075 5800 7000 7250 8120 10150 14500 20300 25375 29000 40600 50750 101500 104537 203000 209074 418148 522685 731759 836296 1045370 1463518 2090740 2613425 2927036 3031573 3658795 4181480 5226850 5854072 6063146 7317590 10453700 12126292 13067125 14635180 15157865 18293975 20907400 21221011 24252584 26134250 29270360 30315730 36587950 42442022 52268500 60631460 73175900 75789325 84884044 91469875 104537000 106105055 121262920 146351800 151578650 169768088 182939750 212210110 303157300 365879500 378946625 424420220 530525275 606314600 731759000 757893250 848840440 1061050550 1515786500 2122101100 2652626375 3031573000 4244202200 5305252750 10610505500 21221011000