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21103001220 = 22357409122849
BaseRepresentation
bin10011101001110101…
…100011111010000100
32000110201000112110210
4103221311203322010
5321204332014340
613410010315420
71344644356620
oct235165437204
960421015423
1021103001220
118a4a104184
12410b428b70
131cb4069692
1410429a6180
158379e6180
hex4e9d63e84

21103001220 has 96 divisors (see below), whose sum is σ = 67695264000. Its totient is φ = 4811710464.

The previous prime is 21103001219. The next prime is 21103001237. The reversal of 21103001220 is 2210030112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21103001196 and 21103001205.

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, 110356 + ... + 233204.

It is an arithmetic number, because the mean of its divisors is an integer number (705159000).

Almost surely, 221103001220 is an apocalyptic number.

21103001220 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 21103001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33847632000).

21103001220 is an abundant number, since it is smaller than the sum of its proper divisors (46592262780).

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

21103001220 is a wasteful number, since it uses less digits than its factorization.

21103001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123277 (or 123275 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21103001220 its reverse (2210030112), we get a palindrome (23313031332).

The spelling of 21103001220 in words is "twenty-one billion, one hundred three million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 409 420 818 1227 1636 2045 2454 2863 4090 4908 5726 6135 8180 8589 11452 12270 14315 17178 24540 28630 34356 42945 57260 85890 122849 171780 245698 368547 491396 614245 737094 859943 1228490 1474188 1719886 1842735 2456980 2579829 3439772 3685470 4299715 5159658 7370940 8599430 10319316 12899145 17198860 25798290 50245241 51596580 100490482 150735723 200980964 251226205 301471446 351716687 502452410 602942892 703433374 753678615 1004904820 1055150061 1406866748 1507357230 1758583435 2110300122 3014714460 3517166870 4220600244 5275750305 7034333740 10551500610 21103001220