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12002011101 = 321778444517
BaseRepresentation
bin10110010110110000…
…00010011111011101
31010222102220100001200
423023120002133131
5144040003323401
65302540430113
7603264261003
oct131330023735
933872810050
1012002011101
1150a9905643
1223ab548339
1311936ba022
1481bdc2a73
154a3a1b686
hex2cb6027dd

12002011101 has 12 divisors (see below), whose sum is σ = 18356017212. Its totient is φ = 7530673536.

The previous prime is 12002011097. The next prime is 12002011157. The reversal of 12002011101 is 10111020021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3915505476 + 8086505625 = 62574^2 + 89925^2 .

It is not a de Polignac number, because 12002011101 - 22 = 12002011097 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002011001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39222106 + ... + 39222411.

It is an arithmetic number, because the mean of its divisors is an integer number (1529668101).

Almost surely, 212002011101 is an apocalyptic number.

It is an amenable number.

12002011101 is a deficient number, since it is larger than the sum of its proper divisors (6354006111).

12002011101 is a wasteful number, since it uses less digits than its factorization.

12002011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78444540 (or 78444537 counting only the distinct ones).

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

Adding to 12002011101 its reverse (10111020021), we get a palindrome (22113031122).

The spelling of 12002011101 in words is "twelve billion, two million, eleven thousand, one hundred one".

Divisors: 1 3 9 17 51 153 78444517 235333551 706000653 1333556789 4000670367 12002011101