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20112145352244 = 2232111132931533971
BaseRepresentation
bin1001001001010101110010…
…10001111000011000110100
32122012200221222201200001100
410210222321101320120310
510114004133202232434
6110435220402130100
74144024465545411
oct444527121703064
978180858650040
1020112145352244
116454570802030
122309a50950930
13b2b74b0ba52a
144d760c335108
1524d26a4a3699
hex124ab9478634

20112145352244 has 144 divisors (see below), whose sum is σ = 56142565262784. Its totient is φ = 6020034585600.

The previous prime is 20112145352183. The next prime is 20112145352251. The reversal of 20112145352244 is 44225354121102.

20112145352244 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 21 + 45 + 352 + 244 = 666.

20112145352244 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20112145352199 and 20112145352208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12344179 + ... + 13878149.

It is an arithmetic number, because the mean of its divisors is an integer number (389878925436).

Almost surely, 220112145352244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112145352244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28071282631392).

20112145352244 is an abundant number, since it is smaller than the sum of its proper divisors (36030419910540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20112145352244 is a wasteful number, since it uses less digits than its factorization.

20112145352244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534398 (or 1534393 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 20112145352244 its reverse (44225354121102), we get a palindrome (64337499473346).

The spelling of 20112145352244 in words is "twenty trillion, one hundred twelve billion, one hundred forty-five million, three hundred fifty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 293 339 396 452 586 678 879 1017 1172 1243 1356 1758 2034 2486 2637 3223 3516 3729 4068 4972 5274 6446 7458 9669 10548 11187 12892 14916 19338 22374 29007 33109 38676 44748 58014 66218 99327 116028 132436 198654 297981 364199 397308 595962 728398 1092597 1191924 1456796 1533971 2185194 3067942 3277791 4370388 4601913 6135884 6555582 9203826 13111164 13805739 16873681 18407652 27611478 33747362 50621043 55222956 67494724 101242086 151863129 173338723 202484172 303726258 346677446 449453503 520016169 607452516 693354892 898907006 1040032338 1348360509 1560048507 1797814012 1906725953 2080064676 2696721018 3120097014 3813451906 4045081527 4943988533 5393442036 5720177859 6240194028 7626903812 8090163054 9887977066 11440355718 14831965599 16180326108 17160533577 19775954132 22880711436 29663931198 34321067154 44495896797 50788245839 59327862396 68642134308 88991793594 101576491678 152364737517 177983587188 203152983356 304729475034 457094212551 558670704229 609458950068 914188425102 1117341408458 1676012112687 1828376850204 2234682816916 3352024225374 5028036338061 6704048450748 10056072676122 20112145352244