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21120100111021 = 6173149118126953
BaseRepresentation
bin1001100110101011010000…
…00100001001001010101101
32202210001200002102201010211
410303111220010021022231
510232012431112023041
6112530235014502421
74306606524620122
oct463255004111255
982701602381124
1021120100111021
116802a90a04a2a
122451272964a11
13ba2803418b12
1453030b02a749
152695b027a481
hex1335681092ad

21120100111021 has 32 divisors (see below), whose sum is σ = 21925795989600. Its totient is φ = 20333796249600.

The previous prime is 21120100111001. The next prime is 21120100111067. The reversal of 21120100111021 is 12011100102112.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5511390093225 + 15608710017796 = 2347635^2 + 3950786^2 .

It is a cyclic number.

It is not a de Polignac number, because 21120100111021 - 221 = 21120098013869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21120100110992 and 21120100111010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120100111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783576481 + ... + 783603433.

It is an arithmetic number, because the mean of its divisors is an integer number (685181124675).

Almost surely, 221120100111021 is an apocalyptic number.

It is an amenable number.

21120100111021 is a deficient number, since it is larger than the sum of its proper divisors (805695878579).

21120100111021 is a wasteful number, since it uses less digits than its factorization.

21120100111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28417.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21120100111021 its reverse (12011100102112), we get a palindrome (33131200213133).

The spelling of 21120100111021 in words is "twenty-one trillion, one hundred twenty billion, one hundred million, one hundred eleven thousand, twenty-one".

Divisors: 1 61 73 149 1181 4453 9089 10877 26953 72041 86213 175969 663497 1644133 1967569 4015997 5258993 10734109 12845737 31831493 120021709 244975817 293167781 783589957 1941721073 2323698989 4742892457 17883234641 141745638329 289316439877 346231149361 21120100111021