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21014201414041 = 1119254573949657
BaseRepresentation
bin1001100011100110000000…
…00000101011000110011001
32202101221022211100111211121
410301303000000223012121
510223244041030222131
6112405442454125241
74266140333553253
oct461630000530631
982357284314747
1021014201414041
11677208894a550
122434839650821
13b9582781c244
1452914280acd3
15266963268911
hex131cc002b199

21014201414041 has 16 divisors (see below), whose sum is σ = 24132094407360. Its totient is φ = 18097639764480.

The previous prime is 21014201414029. The next prime is 21014201414093. The reversal of 21014201414041 is 14041410241012.

It is a cyclic number.

It is not a de Polignac number, because 21014201414041 - 27 = 21014201413913 is a prime.

It is a super-2 number, since 2×210142014140412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21014201413997 and 21014201414015.

It is not an unprimeable number, because it can be changed into a prime (21014201414341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3345685 + ... + 7295341.

It is an arithmetic number, because the mean of its divisors is an integer number (1508255900460).

Almost surely, 221014201414041 is an apocalyptic number.

It is an amenable number.

21014201414041 is a deficient number, since it is larger than the sum of its proper divisors (3117892993319).

21014201414041 is a wasteful number, since it uses less digits than its factorization.

21014201414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975144.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 21014201414041 its reverse (14041410241012), we get a palindrome (35055611655053).

The spelling of 21014201414041 in words is "twenty-one trillion, fourteen billion, two hundred one million, four hundred fourteen thousand, forty-one".

Divisors: 1 11 19 209 25457 280027 483683 3949657 5320513 43446227 75043483 825478313 100546418249 1106010600739 1910381946731 21014201414041