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201010011110112 = 25337175332282177
BaseRepresentation
bin101101101101000101001010…
…010011101111101011100000
3222100201100222021201120101110
4231231011022103233223200
5202321322000321010422
61551302420240503320
760224331314150511
oct5555051223575340
9870640867646343
10201010011110112
1159058959a51466
121a66510601ab40
138821216634ac9
14378cd17882a08
151838ae965a60c
hexb6d14a4efae0

201010011110112 has 96 divisors (see below), whose sum is σ = 542221275470112. Its totient is φ = 65155244949504.

The previous prime is 201010011110071. The next prime is 201010011110131. The reversal of 201010011110112 is 211011110010102.

201010011110112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9914433 + ... + 22367744.

It is an arithmetic number, because the mean of its divisors is an integer number (5648138286147).

Almost surely, 2201010011110112 is an apocalyptic number.

It is an amenable number.

201010011110112 is an abundant number, since it is smaller than the sum of its proper divisors (341211264360000).

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

201010011110112 is a wasteful number, since it uses less digits than its factorization.

201010011110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32283980 (or 32283972 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 201010011110112 its reverse (211011110010102), we get a palindrome (412021121120214).

The spelling of 201010011110112 in words is "two hundred one trillion, ten billion, eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1753 1776 3506 3552 5259 7012 10518 14024 21036 28048 42072 56096 64861 84144 129722 168288 194583 259444 389166 518888 778332 1037776 1556664 2075552 3113328 6226656 32282177 64564354 96846531 129128708 193693062 258257416 387386124 516514832 774772248 1033029664 1194440549 1549544496 2388881098 3099088992 3583321647 4777762196 7166643294 9555524392 14333286588 19111048784 28666573176 38222097568 56590656281 57333146352 113181312562 114666292704 169771968843 226362625124 339543937686 452725250248 679087875372 905450500496 1358175750744 1810901000992 2093854282397 2716351501488 4187708564794 5432703002976 6281562847191 8375417129588 12563125694382 16750834259176 25126251388764 33501668518352 50252502777528 67003337036704 100505005555056 201010011110112