Search a number
-
+
35330246133 = 3713434496703
BaseRepresentation
bin100000111001110110…
…001100010111110101
310101012020002110110120
4200321312030113311
51034324020334013
624121441442153
72360342065020
oct407166142765
9111166073416
1035330246133
1113a90003926
126a20040359
1334407817b0
1419d23141b7
15dbba66123
hex839d8c5f5

35330246133 has 64 divisors (see below), whose sum is σ = 59467161600. Its totient is φ = 18159095808.

The previous prime is 35330246113. The next prime is 35330246137. The reversal of 35330246133 is 33164203353.

It is not a de Polignac number, because 35330246133 - 28 = 35330245877 is a prime.

It is a super-2 number, since 2×353302461332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35330246094 and 35330246103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35330246137) 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, 5267460 + ... + 5274162.

It is an arithmetic number, because the mean of its divisors is an integer number (929174400).

Almost surely, 235330246133 is an apocalyptic number.

It is an amenable number.

35330246133 is a deficient number, since it is larger than the sum of its proper divisors (24136915467).

35330246133 is a wasteful number, since it uses less digits than its factorization.

35330246133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218.

The product of its (nonzero) digits is 58320, while the sum is 33.

Adding to 35330246133 its reverse (33164203353), we get a palindrome (68494449486).

The spelling of 35330246133 in words is "thirty-five billion, three hundred thirty million, two hundred forty-six thousand, one hundred thirty-three".

Divisors: 1 3 7 13 21 39 43 91 129 273 301 449 559 903 1347 1677 3143 3913 5837 6703 9429 11739 17511 19307 20109 40859 46921 57921 87139 122577 135149 140763 250991 261417 288229 405447 609973 752973 864687 1756937 1829919 2017603 3009647 3746977 5270811 6052809 9028941 11240931 21067529 26228839 39125411 63202587 78686517 117376233 129414821 273877877 388244463 821633631 905903747 1682392673 2717711241 5047178019 11776748711 35330246133