Search a number
-
+
10301333311 = 1723127920599
BaseRepresentation
bin10011001100000000…
…11101111100111111
3222120220202221201101
421212000131330333
5132044120131221
64422105153531
7513163613503
oct114600357477
928526687641
1010301333311
11440691a205
121bb5a8b8a7
13c822640c9
146da1a2303
15404581d91
hex26601df3f

10301333311 has 16 divisors (see below), whose sum is σ = 11390976000. Its totient is φ = 9266133888.

The previous prime is 10301333309. The next prime is 10301333381. The reversal of 10301333311 is 11333310301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10301333311 - 21 = 10301333309 is a prime.

It is a super-2 number, since 2×103013333112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301333381) 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 15 ways as a sum of consecutive naturals, for example, 489790 + ... + 510388.

It is an arithmetic number, because the mean of its divisors is an integer number (711936000).

Almost surely, 210301333311 is an apocalyptic number.

10301333311 is a deficient number, since it is larger than the sum of its proper divisors (1089642689).

10301333311 is a wasteful number, since it uses less digits than its factorization.

10301333311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21918.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 10301333311 its reverse (11333310301), we get a palindrome (21634643612).

The spelling of 10301333311 in words is "ten billion, three hundred one million, three hundred thirty-three thousand, three hundred eleven".

Divisors: 1 17 23 391 1279 20599 21743 29417 350183 473777 500089 8054209 26346121 447884057 605960783 10301333311