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201013203033 = 327310119715377
BaseRepresentation
bin1011101100110101010…
…0100001000001011001
3201012211221210201202200
42323031110201001121
511243133334444113
6232202202320413
720344203014466
oct2731524410131
9635757721680
10201013203033
1178281792685
1232b5aab9109
1315c561ccab6
149a2c8a866d
1553673b2873
hex2ecd521059

201013203033 has 48 divisors (see below), whose sum is σ = 298772272656. Its totient is φ = 130191667200.

The previous prime is 201013203023. The next prime is 201013203049. The reversal of 201013203033 is 330302310102.

It can be written as a sum of positive squares in 8 ways, for example, as 148265812809 + 52747390224 = 385053^2 + 229668^2 .

It is not a de Polignac number, because 201013203033 - 29 = 201013202521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201013202997 and 201013203015.

It is not an unprimeable number, because it can be changed into a prime (201013203023) 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, 13064641 + ... + 13080017.

It is an arithmetic number, because the mean of its divisors is an integer number (6224422347).

Almost surely, 2201013203033 is an apocalyptic number.

It is an amenable number.

201013203033 is a deficient number, since it is larger than the sum of its proper divisors (97759069623).

201013203033 is a wasteful number, since it uses less digits than its factorization.

201013203033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15754 (or 15751 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 201013203033 its reverse (330302310102), we get a palindrome (531315513135).

The spelling of 201013203033 in words is "two hundred one billion, thirteen million, two hundred three thousand, thirty-three".

Divisors: 1 3 9 73 101 197 219 303 591 657 909 1773 7373 14381 15377 19897 22119 43143 46131 59691 66357 129429 138393 179073 1122521 1452481 1553077 3029269 3367563 4357443 4659231 9087807 10102689 13072329 13977693 27263421 113374621 221136637 305956169 340123863 663409911 917868507 1020371589 1990229733 2753605521 22334800337 67004401011 201013203033