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201140020011 = 37172943145077
BaseRepresentation
bin1011101101010011100…
…0010010001100101011
3201020011210102200221210
42323110320102030223
511243413321120021
6232222532404203
720350302650340
oct2732470221453
9636153380853
10201140020011
11783373300a7
1232b95476663
1315c76572828
149a4167a7c7
1553735b2e76
hex2ed4e1232b

201140020011 has 64 divisors (see below), whose sum is σ = 336505466880. Its totient is φ = 104201287680.

The previous prime is 201140019991. The next prime is 201140020021. The reversal of 201140020011 is 110020041102.

It is a happy number.

201140020011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201140020011 - 29 = 201140019499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201140020021) 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 63 ways as a sum of consecutive naturals, for example, 4439605 + ... + 4484681.

It is an arithmetic number, because the mean of its divisors is an integer number (5257897920).

Almost surely, 2201140020011 is an apocalyptic number.

201140020011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201140020011 is a deficient number, since it is larger than the sum of its proper divisors (135365446869).

201140020011 is a wasteful number, since it uses less digits than its factorization.

201140020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45564.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201140020011 its reverse (110020041102), we get a palindrome (311160061113).

The spelling of 201140020011 in words is "two hundred one billion, one hundred forty million, twenty thousand, eleven".

Divisors: 1 3 7 17 21 29 51 87 119 203 357 431 493 609 1293 1479 3017 3451 7327 9051 10353 12499 21981 37497 45077 51289 87493 135231 153867 212483 262479 315539 637449 766309 946617 1307233 1487381 2298927 3921699 4462143 5364163 9150631 16092489 19428187 22222961 27451893 58284561 66668883 135997309 155560727 330279179 407991927 466682181 563417423 990837537 1690252269 2311954253 3943921961 6935862759 9578096191 11831765883 28734288573 67046673337 201140020011