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21221101200 = 24352131360327
BaseRepresentation
bin10011110000111000…
…000100111010010000
32000202221020122012010
4103300320010322100
5321430100214300
613425425502520
71350610245465
oct236070047220
960687218163
1021221101200
118aaa838472
124142aa1a40
132002679820
14105454966c
15843073a50
hex4f0e04e90

21221101200 has 120 divisors (see below), whose sum is σ = 73207411648. Its totient is φ = 5223651840.

The previous prime is 21221101199. The next prime is 21221101201. The reversal of 21221101200 is 210112212.

It is an interprime number because it is at equal distance from previous prime (21221101199) and next prime (21221101201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×212211012002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21221101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664564 + ... + 695763.

Almost surely, 221221101200 is an apocalyptic number.

21221101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221101200 is an abundant number, since it is smaller than the sum of its proper divisors (51986310448).

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

21221101200 is a wasteful number, since it uses less digits than its factorization.

21221101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360361 (or 1360350 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21221101200 its reverse (210112212), we get a palindrome (21431213412).

The spelling of 21221101200 in words is "twenty-one billion, two hundred twenty-one million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 1360327 2720654 4080981 5441308 6801635 8161962 10882616 13603270 16323924 17684251 20404905 21765232 27206540 32647848 34008175 35368502 40809810 53052753 54413080 65295696 68016350 70737004 81619620 88421255 102024525 106105506 108826160 136032700 141474008 163239240 176842510 204049050 212211012 265263765 272065400 282948016 326478480 353685020 408098100 424422024 442106275 530527530 544130800 707370040 816196200 848844048 884212550 1061055060 1326318825 1414740080 1632392400 1768425100 2122110120 2652637650 3536850200 4244220240 5305275300 7073700400 10610550600 21221101200