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21000441220 = 22511195394793
BaseRepresentation
bin10011100011101110…
…010100110110000100
32000012120000221121021
4103203232110312010
5321002103104340
613351504200524
71342260543103
oct234356246604
960176027537
1021000441220
1189a7224350
1240a1009144
131c98a3a8a5
14103310a03a
1582d9d7e4a
hex4e3b94d84

21000441220 has 96 divisors (see below), whose sum is σ = 51598270080. Its totient is φ = 7098024960.

The previous prime is 21000441193. The next prime is 21000441233. The reversal of 21000441220 is 2214400012.

It is a junction number, because it is equal to n+sod(n) for n = 21000441194 and 21000441203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174144 + ... + 268936.

It is an arithmetic number, because the mean of its divisors is an integer number (537481980).

Almost surely, 221000441220 is an apocalyptic number.

21000441220 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 21000441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25799135040).

21000441220 is an abundant number, since it is smaller than the sum of its proper divisors (30597828860).

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

21000441220 is a wasteful number, since it uses less digits than its factorization.

21000441220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94885 (or 94883 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21000441220 its reverse (2214400012), we get a palindrome (23214841232).

The spelling of 21000441220 in words is "twenty-one billion, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 53 55 76 95 106 110 190 209 212 220 265 380 418 530 583 836 1007 1045 1060 1166 2014 2090 2332 2915 4028 4180 5035 5830 10070 11077 11660 20140 22154 44308 55385 94793 110770 189586 221540 379172 473965 947930 1042723 1801067 1895860 2085446 3602134 4170892 5024029 5213615 7204268 9005335 10048058 10427230 18010670 19811737 20096116 20854460 25120145 36021340 39623474 50240290 55264319 79246948 95456551 99058685 100480580 110528638 190913102 198117370 221057276 276321595 381826204 396234740 477282755 552643190 954565510 1050022061 1105286380 1909131020 2100044122 4200088244 5250110305 10500220610 21000441220