Search a number
-
+
10331323011 = 331723612263
BaseRepresentation
bin10011001111100101…
…10111101010000011
3222200000012120212000
421213302313222003
5132124304314021
64425100035043
7514006540152
oct114762675203
928600176760
1010331323011
114421842989
122003b32a83
13c885344a9
1470016b599
15407007b26
hex267cb7a83

10331323011 has 96 divisors (see below), whose sum is σ = 17257743360. Its totient is φ = 6075717120.

The previous prime is 10331323007. The next prime is 10331323043. The reversal of 10331323011 is 11032313301.

It is a happy number.

10331323011 is a `hidden beast` number, since 1 + 0 + 331 + 32 + 301 + 1 = 666.

It is not a de Polignac number, because 10331323011 - 22 = 10331323007 is a prime.

It is a super-2 number, since 2×103313230112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10331323091) 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 95 ways as a sum of consecutive naturals, for example, 39282466 + ... + 39282728.

It is an arithmetic number, because the mean of its divisors is an integer number (179768160).

Almost surely, 210331323011 is an apocalyptic number.

10331323011 is a deficient number, since it is larger than the sum of its proper divisors (6926420349).

10331323011 is a wasteful number, since it uses less digits than its factorization.

10331323011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10331323011 its reverse (11032313301), we get a palindrome (21363636312).

The spelling of 10331323011 in words is "ten billion, three hundred thirty-one million, three hundred twenty-three thousand, eleven".

Divisors: 1 3 9 17 23 27 51 61 69 153 183 207 263 391 459 549 621 789 1037 1173 1403 1647 2367 3111 3519 3721 4209 4471 6049 7101 9333 10557 11163 12627 13413 16043 18147 23851 27999 33489 37881 40239 48129 54441 63257 71553 85583 100467 102833 120717 144387 163323 189771 214659 256749 272731 308499 368989 433161 569313 643977 770247 818193 925497 978623 1106967 1454911 1707939 2310741 2454579 2776491 2935869 3320901 4364733 6272813 7363737 8807607 9962703 13094199 16636591 18818439 22508329 26422821 39282597 49909773 56455317 67524987 149729319 169365951 202574961 382641593 449187957 607724883 1147924779 3443774337 10331323011