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110212133200011 = 3237979193712769
BaseRepresentation
bin11001000011110011000011…
…000011001010000010001011
3112110020011210001120220000200
4121003303003003022002023
5103421203422044400021
61030222431030303243
732133364255126533
oct3103630303120213
9473204701526020
10110212133200011
1132131780a70117
121043ba244b7b23
134965c6222130b
141d3041d5d44c3
15cb1d0ce69126
hex643cc30ca08b

110212133200011 has 48 divisors (see below), whose sum is σ = 165363211540800. Its totient is φ = 70674944753664.

The previous prime is 110212133199979. The next prime is 110212133200027. The reversal of 110212133200011 is 110002331212011.

110212133200011 is a `hidden beast` number, since 110 + 21 + 213 + 320 + 0 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 110212133200011 - 25 = 110212133199979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110212133204011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27828235 + ... + 31541003.

It is an arithmetic number, because the mean of its divisors is an integer number (3445066907100).

Almost surely, 2110212133200011 is an apocalyptic number.

110212133200011 is a deficient number, since it is larger than the sum of its proper divisors (55151078340789).

110212133200011 is a wasteful number, since it uses less digits than its factorization.

110212133200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713828 (or 3713825 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 110212133200011 its reverse (110002331212011), we get a palindrome (220214464412022).

The spelling of 110212133200011 in words is "one hundred ten trillion, two hundred twelve billion, one hundred thirty-three million, two hundred thousand, eleven".

Divisors: 1 3 9 37 97 111 291 333 873 919 2757 3589 8271 10767 32301 34003 89143 102009 267429 306027 802287 3298291 3712769 9894873 11138307 29684619 33414921 137372453 360138593 412117359 1080415779 1236352077 3241247337 3412034711 10236104133 13325127941 30708312399 39975383823 119926151469 126245284307 330967366967 378735852921 992902100901 1136207558763 2978706302703 12245792577779 36737377733337 110212133200011