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21103322220 = 22325378935603
BaseRepresentation
bin10011101001110110…
…110010010001101100
32000110201121211210200
4103221312302101230
5321204422302340
613410021233500
71344650164521
oct235166622154
960421554720
1021103322220
118a4a303372
12410b562890
131cb414c816
141042a4b148
15837a5b330
hex4e9db246c

21103322220 has 144 divisors (see below), whose sum is σ = 66484061280. Its totient is φ = 5413782528.

The previous prime is 21103322209. The next prime is 21103322221. The reversal of 21103322220 is 2222330112.

21103322220 is a `hidden beast` number, since 2 + 110 + 332 + 2 + 220 = 666.

It is a super-2 number, since 2×211033222202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21103322193 and 21103322202.

It is not an unprimeable number, because it can be changed into a prime (21103322221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574939 + ... + 610541.

It is an arithmetic number, because the mean of its divisors is an integer number (461694870).

Almost surely, 221103322220 is an apocalyptic number.

21103322220 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 21103322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33242030640).

21103322220 is an abundant number, since it is smaller than the sum of its proper divisors (45380739060).

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

21103322220 is a wasteful number, since it uses less digits than its factorization.

21103322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35744 (or 35739 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21103322220 its reverse (2222330112), we get a palindrome (23325652332).

The spelling of 21103322220 in words is "twenty-one billion, one hundred three million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 89 90 111 148 178 180 185 222 267 333 356 370 444 445 534 555 666 740 801 890 1068 1110 1332 1335 1602 1665 1780 2220 2670 3204 3293 3330 4005 5340 6586 6660 8010 9879 13172 16020 16465 19758 29637 32930 35603 39516 49395 59274 65860 71206 98790 106809 118548 142412 148185 178015 197580 213618 296370 320427 356030 427236 534045 592740 640854 712060 1068090 1281708 1317311 1602135 2136180 2634622 3168667 3204270 3951933 5269244 6337334 6408540 6586555 7903866 9506001 11855799 12674668 13173110 15807732 15843335 19012002 19759665 23711598 26346220 28518003 31686670 38024004 39519330 47423196 47530005 57036006 59278995 63373340 79038660 95060010 114072012 117240679 118557990 142590015 190120020 234481358 237115980 285180030 351722037 468962716 570360060 586203395 703444074 1055166111 1172406790 1406888148 1758610185 2110332222 2344813580 3517220370 4220664444 5275830555 7034440740 10551661110 21103322220