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12020100103011 = 37111323971794127
BaseRepresentation
bin1010111011101010010111…
…0010111111101101100011
31120120002222102222010120010
42232322211302333231203
53033414131111244021
641321542513020003
72350265200040640
oct256724562775543
946502872863503
1012020100103011
113914772165790
1214216ab254603
1369264ba45b70
142d7ac12c0dc7
1515ca0c861976
hexaeea5cbfb63

12020100103011 has 128 divisors (see below), whose sum is σ = 22685585965056. Its totient is φ = 5456439521280.

The previous prime is 12020100102991. The next prime is 12020100103049. The reversal of 12020100103011 is 11030100102021.

It is not a de Polignac number, because 12020100103011 - 221 = 12020098005859 is a prime.

It is a super-2 number, since 2×120201001030112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12020100104011) 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, 5802630 + ... + 7596756.

It is an arithmetic number, because the mean of its divisors is an integer number (177231140352).

Almost surely, 212020100103011 is an apocalyptic number.

12020100103011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12020100103011 is a deficient number, since it is larger than the sum of its proper divisors (10665485862045).

12020100103011 is a wasteful number, since it uses less digits than its factorization.

12020100103011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794281.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12020100103011 its reverse (11030100102021), we get a palindrome (23050200205032).

The spelling of 12020100103011 in words is "twelve trillion, twenty billion, one hundred million, one hundred three thousand, eleven".

Divisors: 1 3 7 11 13 21 23 33 39 69 77 91 97 143 161 231 253 273 291 299 429 483 679 759 897 1001 1067 1261 1771 2037 2093 2231 3003 3201 3289 3783 5313 6279 6693 7469 8827 9867 13871 15617 22407 23023 24541 26481 29003 41613 46851 69069 73623 87009 97097 171787 203021 291291 319033 515361 609063 957099 1794127 2233231 5382381 6699693 12558889 19735397 23323651 37676667 41264921 59206191 69970953 123794763 138147779 163265557 174030319 256560161 288854447 414443337 453914131 489796671 522090957 536443973 769680483 866563341 1218212233 1361742393 1609331919 1795921127 1914333509 2262394147 3177398917 3654636699 3755107811 4002697337 5387763381 5743000527 5900883703 6787182441 9532196751 11265323433 12008092011 13400334563 15836759029 17702651109 24886335617 28018881359 40201003689 41306185921 44029670707 47510277087 52035065381 74659006851 84056644077 123918557763 132089012121 156105196143 174204349319 308207694949 364245457667 522613047957 572385719191 924623084847 1092736373001 1717157157573 4006700034337 12020100103011