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212201021130021 = 327119715791999219
BaseRepresentation
bin110000001111111011100110…
…011111000100010100100101
31000211100012221000102121220200
4300033323212133010110211
5210303200142402130041
62031151445304021113
762461006056621510
oct6017734637042445
91024305830377820
10212201021130021
1161682a473a4460
121b971b90761799
1391536166c5681
143a58827171d77
15197ec7eddb1b6
hexc0fee67c4525

212201021130021 has 96 divisors (see below), whose sum is σ = 386329912550400. Its totient is φ = 109028713098240.

The previous prime is 212201021129941. The next prime is 212201021130029. The reversal of 212201021130021 is 120031120102212.

212201021130021 is a `hidden beast` number, since 2 + 122 + 0 + 10 + 211 + 300 + 21 = 666.

It is not a de Polignac number, because 212201021130021 - 27 = 212201021129893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212201021129976 and 212201021130003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201021130029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105142350 + ... + 107141568.

It is an arithmetic number, because the mean of its divisors is an integer number (4024269922400).

Almost surely, 2212201021130021 is an apocalyptic number.

212201021130021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212201021130021 is a deficient number, since it is larger than the sum of its proper divisors (174128891420379).

212201021130021 is a wasteful number, since it uses less digits than its factorization.

212201021130021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000919 (or 2000916 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212201021130021 its reverse (120031120102212), we get a palindrome (332232141232233).

The spelling of 212201021130021 in words is "two hundred twelve trillion, two hundred one billion, twenty-one million, one hundred thirty thousand, twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 97 99 231 291 679 693 873 1067 1579 2037 3201 4737 6111 7469 9603 11053 14211 17369 22407 33159 52107 67221 99477 121583 153163 156321 364749 459489 1072141 1094247 1378467 1684793 1999219 3216423 5054379 5997657 9649269 11793551 13994533 15163137 17992971 21991409 35380653 41983599 65974227 106141959 125950797 153939863 193924243 197922681 461819589 581772729 1357469701 1385458767 1745318187 2133166673 3156766801 4072409103 6399500019 9470300403 12217227309 14932166711 19198500057 22097367607 28410901209 34724434811 44796500133 66292102821 104173304433 134389500399 198876308463 243071043677 306206379697 312519913299 729213131031 918619139091 2143444657879 2187639393093 2755857417273 3368270176667 6430333973637 10104810530001 19291001920911 23577891236669 30314431590003 70733673710007 212201021130021