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20343113101311 = 37111331375906071
BaseRepresentation
bin1001010000000100000000…
…00001111010111111111111
32200000210010112022000001220
410220002000001322333333
510131300143423220221
6111133255214404423
74166512210200210
oct450020001727777
980023115260056
1020343113101311
116533514002480
12234676b500713
13b47469129280
1450487d1b5407
152542874b20c6
hex12808007afff

20343113101311 has 128 divisors (see below), whose sum is σ = 38609268375552. Its totient is φ = 9185120064000.

The previous prime is 20343113101303. The next prime is 20343113101361. The reversal of 20343113101311 is 11310131134302.

It is not a de Polignac number, because 20343113101311 - 23 = 20343113101303 is a prime.

It is a super-3 number, since 3×203431131013113 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20343113101361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 491406 + ... + 6397476.

It is an arithmetic number, because the mean of its divisors is an integer number (301634909184).

Almost surely, 220343113101311 is an apocalyptic number.

20343113101311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20343113101311 is a deficient number, since it is larger than the sum of its proper divisors (18266155274241).

20343113101311 is a wasteful number, since it uses less digits than its factorization.

20343113101311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906173.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 20343113101311 its reverse (11310131134302), we get a palindrome (31653244235613).

The spelling of 20343113101311 in words is "twenty trillion, three hundred forty-three billion, one hundred thirteen million, one hundred one thousand, three hundred eleven".

Divisors: 1 3 7 11 13 21 31 33 37 39 77 91 93 111 143 217 231 259 273 341 403 407 429 481 651 777 1001 1023 1147 1209 1221 1443 2387 2821 2849 3003 3367 3441 4433 5291 7161 8029 8463 8547 10101 12617 13299 14911 15873 24087 31031 37037 37851 44733 88319 93093 104377 111111 164021 264957 313131 492063 1148147 3444441 5906071 17718213 41342497 64966781 76778923 124027491 183088201 194900343 218524627 230336769 454767467 537452461 549264603 655573881 844568153 1281617407 1364302401 1529672389 1612357383 2013970211 2380146613 2403770897 2533704459 2840820151 3844852221 4589017167 5911977071 6041910633 6774263437 7140439839 7211312691 8522460453 14097791477 16661026291 16826396279 17735931213 19885741057 20322790311 26181612743 31249021661 42293374431 47419844059 49983078873 50479188837 59657223171 74516897807 78544838229 88065424681 93747064983 142259532177 183271289201 218743151627 223550693421 264196274043 521618284649 549813867603 616457972767 656229454881 968719671491 1564854853947 1849373918301 2906159014473 6781037700437 20343113101311