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21212220112200 = 23325213906505133
BaseRepresentation
bin1001101001010110110101…
…10110000011110101001000
32210002212110002110122011100
410310223122312003311020
510240020111322042300
6113040432010101400
74316350405663125
oct464533266036510
983085402418140
1021212220112200
116839063285307
1224670a171a860
13bab3c450ca60
145349696dd74c
1526bba27c0700
hex134adad83d48

21212220112200 has 144 divisors (see below), whose sum is σ = 76717529490420. Its totient is φ = 5221469560320.

The previous prime is 21212220112183. The next prime is 21212220112217. The reversal of 21212220112200 is 221102221212.

It is a happy number.

21212220112200 is a `hidden beast` number, since 2 + 1 + 212 + 220 + 11 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21212220112183) and next prime (21212220112217).

It can be written as a sum of positive squares in 6 ways, for example, as 2080396600164 + 19131823512036 = 1442358^2 + 4373994^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 453229167 + ... + 453275966.

Almost surely, 221212220112200 is an apocalyptic number.

21212220112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212220112200 is an abundant number, since it is smaller than the sum of its proper divisors (55505309378220).

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

21212220112200 is a wasteful number, since it uses less digits than its factorization.

21212220112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906505168 (or 906505156 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21212220112200 its reverse (221102221212), we get a palindrome (21433322333412).

The spelling of 21212220112200 in words is "twenty-one trillion, two hundred twelve billion, two hundred twenty million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 906505133 1813010266 2719515399 3626020532 4532525665 5439030798 7252041064 8158546197 9065051330 10878061596 11784566729 13597576995 16317092394 18130102660 21756123192 22662628325 23569133458 27195153990 32634184788 35353700187 36260205320 40792730985 45325256650 47138266916 54390307980 58922833645 65268369576 67987884975 70707400374 81585461970 90650513300 94276533832 106061100561 108780615960 117845667290 135975769950 141414800748 163170923940 176768500935 181301026600 203963654925 212122201122 235691334580 271951539900 282829601496 294614168225 326341847880 353537001870 407927309850 424244402244 471382669160 530305502805 543903079800 589228336450 707074003740 815854619700 848488804488 883842504675 1060611005610 1178456672900 1414148007480 1631709239400 1767685009350 2121222011220 2356913345800 2651527514025 3535370018700 4242444022440 5303055028050 7070740037400 10606110056100 21212220112200