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10023310201311 = 32112317131922013
BaseRepresentation
bin1001000111011011101111…
…0110000001000111011111
31022111012220201111011121200
42101312323312001013133
52303210214402420221
633152351203330543
72053105653652011
oct221667366010737
938435821434550
1010023310201311
113214953335300
12115a702380a53
1357926a577854
142691b8cc81b1
15125ae15c9426
hex91dbbd811df

10023310201311 has 72 divisors (see below), whose sum is σ = 15976991590560. Its totient is φ = 6050704344960.

The previous prime is 10023310201243. The next prime is 10023310201339. The reversal of 10023310201311 is 11310201332001.

10023310201311 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 331 + 0 + 20 + 1 + 311 = 666.

It is not a de Polignac number, because 10023310201311 - 27 = 10023310201183 is a prime.

It is a super-2 number, since 2×100233102013112 (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 (10023310201391) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 455324941 + ... + 455346953.

It is an arithmetic number, because the mean of its divisors is an integer number (221902660980).

Almost surely, 210023310201311 is an apocalyptic number.

10023310201311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10023310201311 is a deficient number, since it is larger than the sum of its proper divisors (5953681389249).

10023310201311 is a wasteful number, since it uses less digits than its factorization.

10023310201311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23677 (or 23663 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10023310201311 its reverse (11310201332001), we get a palindrome (21333511533312).

The spelling of 10023310201311 in words is "ten trillion, twenty-three billion, three hundred ten million, two hundred one thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 121 317 363 951 1089 1319 2853 3487 3957 10461 11871 14509 22013 31383 38357 43527 66039 115071 130581 159599 198117 242143 345213 418123 478797 726429 1254369 1436391 2179287 2663573 3763107 4599353 6978121 7990719 13798059 20934363 23972157 29035147 41394177 50592883 62803089 76759331 87105441 151778649 230277993 261316323 319386617 455335947 690833979 844352641 958159851 2533057923 2874479553 3513252787 7599173769 9204141599 10539758361 27612424797 31619275083 82837274391 101245557589 303736672767 911210018301 1113701133479 3341103400437 10023310201311