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21221200100202 = 23311031399977993
BaseRepresentation
bin1001101001100111100100…
…00101111111101101101010
32210010201121220220021212120
410310303302011333231222
510240142004211201302
6113044515034252110
74320116056425144
oct464636205775552
983121556807776
1021221200100202
1168419512481a3
122468988b87036
13bac1c5aa431b
1453517c1c5c94
1526c02ad479bc
hex134cf217fb6a

21221200100202 has 128 divisors (see below), whose sum is σ = 44605384212480. Its totient is φ = 6722724625920.

The previous prime is 21221200100201. The next prime is 21221200100237. The reversal of 21221200100202 is 20200100212212.

It is a super-3 number, since 3×212212001002023 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21221200100201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2654969118 + ... + 2654977110.

It is an arithmetic number, because the mean of its divisors is an integer number (348479564160).

Almost surely, 221221200100202 is an apocalyptic number.

21221200100202 is an abundant number, since it is smaller than the sum of its proper divisors (23384184112278).

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

21221200100202 is a wasteful number, since it uses less digits than its factorization.

21221200100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9268.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21221200100202 its reverse (20200100212212), we get a palindrome (41421300312414).

The spelling of 21221200100202 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 31 62 93 103 139 186 206 278 309 417 618 834 997 1994 2991 3193 4309 5982 6386 7993 8618 9579 12927 14317 15986 19158 23979 25854 28634 30907 42951 47958 61814 85902 92721 102691 138583 185442 205382 247783 277166 308073 415749 443827 495566 616146 743349 823279 831498 887654 1111027 1331481 1486698 1646558 2222054 2469837 2662962 3183421 3333081 4296073 4939674 6366842 6666162 7969021 8592146 9550263 12888219 14274049 15938042 19100526 23907063 25521649 25776438 28548098 34441837 42822147 47814126 51043298 68883674 76564947 85644294 103325511 114435781 153129894 206651022 228871562 247039651 343307343 442495519 494079302 686614686 741118953 820809163 884991038 1107693919 1327486557 1482237906 1641618326 2215387838 2462427489 2654973114 3323081757 3547509211 4924854978 6646163514 7095018422 10642527633 21285055266 25445084053 34338511489 50890168106 68677022978 76335252159 103015534467 114092473657 152670504318 206031068934 228184947314 342277420971 684554841942 3536866683367 7073733366734 10610600050101 21221200100202