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201001110021 = 3237216313701
BaseRepresentation
bin1011101100110010011…
…0011000101000000101
3201012211010001100021100
42323030212120220011
511243122241010041
6232201051210313
720343665150055
oct2731446305005
9635733040240
10201001110021
1178275982a58
1232b56a46999
1315c5385767a
149a2b03b565
1553662c46b6
hex2ecc998a05

201001110021 has 18 divisors (see below), whose sum is σ = 298393923282. Its totient is φ = 130379090400.

The previous prime is 201001110001. The next prime is 201001110047. The reversal of 201001110021 is 120011100102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 41907821796 + 159093288225 = 204714^2 + 398865^2 .

It is not a de Polignac number, because 201001110021 - 26 = 201001109957 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201001109985 and 201001110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001110001) 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 17 ways as a sum of consecutive naturals, for example, 8144530 + ... + 8169171.

Almost surely, 2201001110021 is an apocalyptic number.

It is an amenable number.

201001110021 is a deficient number, since it is larger than the sum of its proper divisors (97392813261).

201001110021 is a wasteful number, since it uses less digits than its factorization.

201001110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16313781 (or 16313741 counting only the distinct ones).

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

Adding to 201001110021 its reverse (120011100102), we get a palindrome (321012210123).

The spelling of 201001110021 in words is "two hundred one billion, one million, one hundred ten thousand, twenty-one".

Divisors: 1 3 9 37 111 333 1369 4107 12321 16313701 48941103 146823309 603606937 1810820811 5432462433 22333456669 67000370007 201001110021