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21202112100200 = 2352296159926829
BaseRepresentation
bin1001101001000100000000…
…10111000011011101101000
32210001220100122110102102112
410310202000113003131220
510234333411144201300
6113032041004221452
74315542050206313
oct464420027033550
983056318412375
1021202112100200
1168348465a7289
12246514053a888
13baa473335075
1453428b0a197a
1526b7b01c8e35
hex1348805c3768

21202112100200 has 96 divisors (see below), whose sum is σ = 51830715267000. Its totient is φ = 8054165683200.

The previous prime is 21202112100193. The next prime is 21202112100227. The reversal of 21202112100200 is 200121120212.

It can be written as a sum of positive squares in 12 ways, for example, as 101153258116 + 21100958842084 = 318046^2 + 4593578^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29609615 + ... + 30317214.

Almost surely, 221202112100200 is an apocalyptic number.

21202112100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202112100200 is an abundant number, since it is smaller than the sum of its proper divisors (30628603166800).

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

21202112100200 is a wasteful number, since it uses less digits than its factorization.

21202112100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59926935 (or 59926926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21202112100200 its reverse (200121120212), we get a palindrome (21402233220412).

The spelling of 21202112100200 in words is "twenty-one trillion, two hundred two billion, one hundred twelve million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 61 100 116 122 145 200 232 244 290 305 488 580 610 725 1160 1220 1450 1525 1769 2440 2900 3050 3538 5800 6100 7076 8845 12200 14152 17690 35380 44225 70760 88450 176900 353800 59926829 119853658 239707316 299634145 479414632 599268290 1198536580 1498170725 1737878041 2397073160 2996341450 3475756082 3655536569 5992682900 6951512164 7311073138 8689390205 11985365800 13903024328 14622146276 17378780410 18277682845 29244292552 34757560820 36555365690 43446951025 69515121640 73110731380 86893902050 91388414225 106010560501 146221462760 173787804100 182776828450 212021121002 347575608200 365553656900 424042242004 530052802505 731107313800 848084484008 1060105605010 2120211210020 2650264012525 4240422420040 5300528025050 10601056050100 21202112100200