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11521006413231 = 377110723312039
BaseRepresentation
bin1010011110100111000101…
…1111101010010110101111
31111210101201202010202012210
42213221301133222112233
53002230010120210411
640300402143101503
72266236164501160
oct247516137522657
944711652122183
1011521006413231
11374203884a5a7
121360a218a1893
136575705c0a33
142bb8965bb767
1514ea4b5a4ca6
hexa7a717ea5af

11521006413231 has 96 divisors (see below), whose sum is σ = 18034156707840. Its totient is φ = 6407476891200.

The previous prime is 11521006413227. The next prime is 11521006413283. The reversal of 11521006413231 is 13231460012511.

It is not a de Polignac number, because 11521006413231 - 22 = 11521006413227 is a prime.

It is a super-2 number, since 2×115210064132312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11521006413221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5650320910 + ... + 5650322948.

It is an arithmetic number, because the mean of its divisors is an integer number (187855799040).

Almost surely, 211521006413231 is an apocalyptic number.

11521006413231 is a deficient number, since it is larger than the sum of its proper divisors (6513150294609).

11521006413231 is a wasteful number, since it uses less digits than its factorization.

11521006413231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 11521006413231 its reverse (13231460012511), we get a palindrome (24752466425742).

The spelling of 11521006413231 in words is "eleven trillion, five hundred twenty-one billion, six million, four hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 7 21 71 107 213 321 331 497 749 993 1491 2039 2247 2317 6117 6951 7597 11449 14273 22791 23501 34347 35417 42819 53179 70503 80143 106251 144769 159537 164507 218173 240429 247919 434307 493521 654519 674909 743757 812879 1013383 1527211 2024727 2438637 2514607 3040149 3789619 4581633 4724363 5690153 7543821 11368857 14173089 15490283 17070459 17602249 23344511 26527333 46470849 47918539 52806747 70033533 72215263 79581999 108431981 143755617 163411577 216645789 269062949 325295943 335429773 490234731 505506841 807188847 1006289319 1516520523 1657460281 1883440643 4972380843 5127283673 5650321929 7727033141 11602221967 15381851019 23181099423 34806665901 35890985711 54089231987 107672957133 162267695961 548619353011 1645858059033 3840335471077 11521006413231