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216201114412041 = 311217241290350077
BaseRepresentation
bin110001001010001000111110…
…100111111110010000001001
31001100111121212101122112201110
4301022020332213332100021
5211314214340242141131
62043453230521240533
763353005106540103
oct6112107647762011
91040447771575643
10216201114412041
1162985417809200
12202b9283933149
1393838a6921b65
143b56292a34573
1519edd49170646
hexc4a23e9fe409

216201114412041 has 96 divisors (see below), whose sum is σ = 337010235496704. Its totient is φ = 122766802329600.

The previous prime is 216201114412027. The next prime is 216201114412061. The reversal of 216201114412041 is 140214411102612.

It is not a de Polignac number, because 216201114412041 - 218 = 216201114149897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (216201114412061) 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 95 ways as a sum of consecutive naturals, for example, 4317348495 + ... + 4317398571.

It is an arithmetic number, because the mean of its divisors is an integer number (3510523286424).

Almost surely, 2216201114412041 is an apocalyptic number.

It is an amenable number.

216201114412041 is a deficient number, since it is larger than the sum of its proper divisors (120809121084663).

216201114412041 is a wasteful number, since it uses less digits than its factorization.

216201114412041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53263 (or 53252 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 216201114412041 its reverse (140214411102612), we get a palindrome (356415525514653).

The spelling of 216201114412041 in words is "two hundred sixteen trillion, two hundred one billion, one hundred fourteen million, four hundred twelve thousand, forty-one".

Divisors: 1 3 11 17 33 51 121 187 241 363 561 723 2057 2651 2903 4097 6171 7953 8709 12291 29161 31933 45067 49351 50077 87483 95799 135201 148053 150231 351263 495737 542861 550847 699623 851309 1053789 1487211 1628583 1652541 2098869 2553927 5971471 6059317 7695853 9364399 11893591 12068557 17914413 18177951 23087559 28093197 35680773 36205671 84654383 103008389 130829501 132754127 145373531 205165469 253963149 309025167 392488503 398262381 436120593 615496407 1439124511 1460295397 1599108841 2256820159 2471350027 4317373533 4380886191 4797326523 6770460477 7414050081 17590197251 24825021749 27184850297 35035020971 52770591753 74475065247 81554550891 105105062913 299033353267 385385230681 595595356507 897100059801 1156155692043 1786786069521 4239237537491 6551548921577 12717712612473 19654646764731 72067038137347 216201114412041