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20112240313011 = 3721123143498387
BaseRepresentation
bin1001001001010101111101…
…11100001000001010110011
32122012201012121102011201210
410210222332330020022303
510114004332010004021
6110435234033331203
74144030030652100
oct444527674101263
978181177364653
1020112240313011
11645460a371500
122309a78706b03
13b2b764988432
144d761abb3aa7
1524d2739aee76
hex124abef082b3

20112240313011 has 144 divisors (see below), whose sum is σ = 35406593510400. Its totient is φ = 10107357321600.

The previous prime is 20112240312961. The next prime is 20112240313043. The reversal of 20112240313011 is 11031304221102.

It is not a de Polignac number, because 20112240313011 - 231 = 20110092829363 is a prime.

It is a super-2 number, since 2×201122403130112 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20112240313211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2398021360 + ... + 2398029746.

It is an arithmetic number, because the mean of its divisors is an integer number (245879121600).

Almost surely, 220112240313011 is an apocalyptic number.

20112240313011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20112240313011 is a deficient number, since it is larger than the sum of its proper divisors (15294353197389).

20112240313011 is a wasteful number, since it uses less digits than its factorization.

20112240313011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12806 (or 12788 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 20112240313011 its reverse (11031304221102), we get a palindrome (31143544534113).

The spelling of 20112240313011 in words is "twenty trillion, one hundred twelve billion, two hundred forty million, three hundred thirteen thousand, eleven".

Divisors: 1 3 7 11 21 31 33 49 77 93 121 147 217 231 341 363 539 651 847 1023 1519 1617 2387 2541 3751 4349 4557 5929 7161 8387 11253 13047 16709 17787 25161 26257 30443 47839 50127 58709 78771 91329 92257 134819 143517 176127 183799 213101 259997 276771 334873 404457 410963 526229 551397 639303 645799 779991 943733 1004619 1014827 1232889 1483009 1578687 1819979 1937397 2344111 2831199 2859967 3044481 3683603 4449027 4520593 5459937 6606131 7032333 7103789 8579901 10381063 11050809 12739853 13561779 16313099 19818393 20019769 21311367 25785221 31143189 31459637 36475063 38219559 48939297 49726523 60059307 72667441 77355663 94378911 109425189 114191693 140138383 149179569 218002323 220217459 255325441 342575079 401225693 420415149 660652377 765976323 799341851 1130726953 1203677079 1541522213 1787278087 2398025553 2808579851 3392180859 4413482623 4624566639 5361834261 7915088671 8425739553 12437996483 13240447869 19660058957 23745266013 30894378361 37313989449 55405620697 58980176871 87065975381 92683135083 136817961313 166216862091 216260648527 261197926143 410453883939 609461827667 648781945581 957725729191 1828385483001 2873177187573 6704080104337 20112240313011