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20001100110021 = 3223937649246979
BaseRepresentation
bin1001000110000110111100…
…11101111001100011000101
32121211002100001111212220100
410203003132131321203011
510110144223112010041
6110312213433154313
74133013622553502
oct443033635714305
977732301455810
1020001100110021
116411467647a78
1222b041bb5b999
13b211321a2804
144d20b63c84a9
1524a41b73e6b6
hex1230de7798c5

20001100110021 has 24 divisors (see below), whose sum is σ = 29012246640000. Its totient is φ = 13277869218432.

The previous prime is 20001100110011. The next prime is 20001100110053. The reversal of 20001100110021 is 12001100110002.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-20001100110021 is a prime.

It is a super-2 number, since 2×200011001100212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20001100109985 and 20001100110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001100110011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80859510 + ... + 81106488.

It is an arithmetic number, because the mean of its divisors is an integer number (1208843610000).

Almost surely, 220001100110021 is an apocalyptic number.

It is an amenable number.

20001100110021 is a deficient number, since it is larger than the sum of its proper divisors (9011146529979).

20001100110021 is a wasteful number, since it uses less digits than its factorization.

20001100110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284873 (or 284870 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20001100110021 its reverse (12001100110002), we get a palindrome (32002200220023).

The spelling of 20001100110021 in words is "twenty trillion, one billion, one hundred million, one hundred ten thousand, twenty-one".

Divisors: 1 3 9 239 717 2151 37649 112947 246979 338841 740937 2222811 8998111 26994333 59027981 80982999 177083943 531251829 9298512371 27895537113 83686611339 2222344456669 6667033370007 20001100110021