Search a number
-
+
11023310200331 = 11132969112013203
BaseRepresentation
bin1010000001101001000001…
…1111010001111000001011
31110000211002102220112202102
42200122100133101320023
52421101214402402311
635240012214024015
72215256621465132
oct240322037217013
943024072815672
1011023310200331
11356aa6125a490
1212a048434800b
1361c655842ac0
142a1761330919
15141b1cd4043b
hexa06907d1e0b

11023310200331 has 64 divisors (see below), whose sum is σ = 13431781117440. Its totient is φ = 8908220160000.

The previous prime is 11023310200321. The next prime is 11023310200333. The reversal of 11023310200331 is 13300201332011.

It is a cyclic number.

It is not a de Polignac number, because 11023310200331 - 226 = 11023243091467 is a prime.

It is a super-2 number, since 2×110233102003312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11023310200333) 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, 3441556376 + ... + 3441559578.

It is an arithmetic number, because the mean of its divisors is an integer number (209871579960).

Almost surely, 211023310200331 is an apocalyptic number.

11023310200331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11023310200331 is a deficient number, since it is larger than the sum of its proper divisors (2408470917109).

11023310200331 is a wasteful number, since it uses less digits than its factorization.

11023310200331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11023310200331 its reverse (13300201332011), we get a palindrome (24323511532342).

The spelling of 11023310200331 in words is "eleven trillion, twenty-three billion, three hundred ten million, two hundred thousand, three hundred thirty-one".

Divisors: 1 11 13 29 143 319 377 691 1201 3203 4147 7601 8983 13211 15613 20039 34829 35233 41639 92887 98813 171743 220429 260507 383119 452777 458029 829891 1021757 1207531 2213273 2865577 3846803 4980547 9128801 10788583 13282841 24066839 24346003 28772549 42314833 50008439 64184917 111557287 118674413 264735229 312868907 316498039 550092829 706034087 834403921 1227130157 1450244731 2658140873 3441557977 9178443131 15952692041 29239549603 34555831349 77086085317 380114144839 847946938487 1002119109121 11023310200331