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11331020001223 = 13311071672416529
BaseRepresentation
bin1010010011100011010101…
…1011000000111111000111
31111010020100021012001001201
42210320311123000333013
52441121412110014343
640033222043003331
72246432144601226
oct244706533007707
944106307161051
1011331020001223
11367950543425a
12133003b809547
13642683a38a70
142b25d2398cbd
15149b2c2c494d
hexa4e356c0fc7

11331020001223 has 64 divisors (see below), whose sum is σ = 12845162373120. Its totient is φ = 9924481843200.

The previous prime is 11331020001209. The next prime is 11331020001239. The reversal of 11331020001223 is 32210002013311.

It is a cyclic number.

It is not a de Polignac number, because 11331020001223 - 217 = 11331019870151 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11331020001223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331020005223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1735487623 + ... + 1735494151.

It is an arithmetic number, because the mean of its divisors is an integer number (200705662080).

Almost surely, 211331020001223 is an apocalyptic number.

11331020001223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11331020001223 is a deficient number, since it is larger than the sum of its proper divisors (1514142371897).

11331020001223 is a wasteful number, since it uses less digits than its factorization.

11331020001223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11331020001223 its reverse (32210002013311), we get a palindrome (43541022014534).

The spelling of 11331020001223 in words is "eleven trillion, three hundred thirty-one billion, twenty million, one thousand, two hundred twenty-three".

Divisors: 1 13 31 107 167 241 403 1391 2171 3133 3317 5177 6529 7471 17869 25787 40247 43121 67301 84877 97123 202399 232297 335231 523211 553939 698603 799397 1090343 1247657 1573489 2631187 4306429 7201207 9081839 10392161 14174459 16219541 20455357 21656693 33800633 48778159 55983577 116666701 133499299 168363323 262772663 281537009 439408229 634116067 1516667113 1735490887 2188723199 3416044619 3616667731 5219263013 8145952553 28116674941 47016680503 67850419169 105897383189 365516774233 871616923171 11331020001223