Search a number
-
+
21021221111121 = 3271135598523083
BaseRepresentation
bin1001100011110011000100…
…11010101100010101010001
32202102121110001011001221100
410301321202122230111101
510223402430101023441
6112413003214415013
74266506312160360
oct461714232542521
982377401131840
1021021221111121
1167750603278a0
122436078501469
13b963a5c3075a
1452960ac137d7
15266c24673cb6
hex131e626ac551

21021221111121 has 48 divisors (see below), whose sum is σ = 37867039441920. Its totient is φ = 10917045272160.

The previous prime is 21021221111113. The next prime is 21021221111131. The reversal of 21021221111121 is 12111112212012.

It is a happy number.

21021221111121 is a `hidden beast` number, since 210 + 2 + 1 + 221 + 111 + 121 = 666.

It is not a de Polignac number, because 21021221111121 - 23 = 21021221111113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21021221111094 and 21021221111103.

It is not an unprimeable number, because it can be changed into a prime (21021221111131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1795155 + ... + 6727928.

It is an arithmetic number, because the mean of its divisors is an integer number (788896655040).

Almost surely, 221021221111121 is an apocalyptic number.

21021221111121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21021221111121 is a deficient number, since it is larger than the sum of its proper divisors (16845818330799).

21021221111121 is a wasteful number, since it uses less digits than its factorization.

21021221111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526666 (or 8526663 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21021221111121 its reverse (12111112212012), we get a palindrome (33132333323133).

The spelling of 21021221111121 in words is "twenty-one trillion, twenty-one billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 3559 10677 24913 32031 39149 74739 117447 224217 274043 352341 822129 2466387 8523083 25569249 59661581 76707747 93753913 178984743 281261739 536954229 656277391 843785217 1968832173 5906496519 30333652397 91000957191 212335566779 273002871573 333670176367 637006700337 1001010529101 1911020101011 2335691234569 3003031587303 7007073703707 21021221111121