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121311112013223 = 31121959298118101
BaseRepresentation
bin11011100101010011110001…
…101111010010010110100111
3120220112020011222100020122220
4123211103301233102112213
5111400030124133410343
61110001315553323423
734360303305336546
oct3345236157222647
9526466158306586
10121311112013223
1135720832180400
1211732aa5b66573
13528c78670a262
1421d56bc32615d
15e058a8d94183
hex6e54f1bd25a7

121311112013223 has 48 divisors (see below), whose sum is σ = 190318596316800. Its totient is φ = 68471765208000.

The previous prime is 121311112013141. The next prime is 121311112013249. The reversal of 121311112013223 is 322310211113121.

It is not a de Polignac number, because 121311112013223 - 28 = 121311112012967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121311112013193 and 121311112013202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121311112013263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148652128 + ... + 149465973.

It is an arithmetic number, because the mean of its divisors is an integer number (3964970756600).

Almost surely, 2121311112013223 is an apocalyptic number.

121311112013223 is a deficient number, since it is larger than the sum of its proper divisors (69007484303577).

121311112013223 is a wasteful number, since it uses less digits than its factorization.

121311112013223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298118204 (or 298118193 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 121311112013223 its reverse (322310211113121), we get a palindrome (443621323126344).

The spelling of 121311112013223 in words is "one hundred twenty-one trillion, three hundred eleven billion, one hundred twelve million, thirteen thousand, two hundred twenty-three".

Divisors: 1 3 11 19 33 57 59 121 177 209 363 627 649 1121 1947 2299 3363 6897 7139 12331 21417 36993 135641 406923 298118101 894354303 3279299111 5664243919 9837897333 16992731757 17588967959 36072290221 52766903877 62306683109 108216870663 186920049327 193478647549 334190391221 580435942647 685373514199 1002571173663 2056120542597 2128265123039 3676094303431 6384795369117 11028282910293 40437037337741 121311112013223