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2201011100001 = 327411276709561
BaseRepresentation
bin100000000001110110011…
…111000001100101100001
321210102012020200201220200
4200001312133001211201
5242030132320200001
64403044110255413
7315006051443340
oct40016637014541
97712166621820
102201011100001
1177949742741a
122b66a21b7569
1312c7291a8b6c
147875ad6bb57
153c3c00c7086
hex200767c1961

2201011100001 has 48 divisors (see below), whose sum is σ = 3751342952448. Its totient is φ = 1217382566400.

The previous prime is 2201011099997. The next prime is 2201011100003. The reversal of 2201011100001 is 1000011101022.

It is a happy number.

It is not a de Polignac number, because 2201011100001 - 22 = 2201011099997 is a prime.

It is a super-2 number, since 2×22010111000012 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2201011100003) 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 47 ways as a sum of consecutive naturals, for example, 3026740 + ... + 3682821.

It is an arithmetic number, because the mean of its divisors is an integer number (78152978176).

Almost surely, 22201011100001 is an apocalyptic number.

2201011100001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2201011100001 is a deficient number, since it is larger than the sum of its proper divisors (1550331852447).

2201011100001 is a wasteful number, since it uses less digits than its factorization.

2201011100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709742 (or 6709739 counting only the distinct ones).

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

Adding to 2201011100001 its reverse (1000011101022), we get a palindrome (3201022201023).

The spelling of 2201011100001 in words is "two trillion, two hundred one billion, eleven million, one hundred thousand, one".

Divisors: 1 3 7 9 21 41 63 123 127 287 369 381 861 889 1143 2583 2667 5207 8001 15621 36449 46863 109347 328041 6709561 20128683 46966927 60386049 140900781 275092001 422702343 825276003 852114247 1925644007 2475828009 2556342741 5776932021 5964799729 7669028223 17330796063 17894399187 34936684127 53683197561 104810052381 244556788889 314430157143 733670366667 2201011100001