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12210001101011 = 7217433111096079
BaseRepresentation
bin1011000110101101110011…
…0001110100000011010011
31121020021010222012100201102
42301223130301310003103
53100022040240213021
641545110322255015
72400100131635300
oct261533461640323
947207128170642
1012210001101011
11398826134223a
1214524687b746b
136a75239c33bc
14302d7802c0a7
151629243be00b
hexb1adcc740d3

12210001101011 has 48 divisors (see below), whose sum is σ = 15438207882240. Its totient is φ = 9590068696320.

The previous prime is 12210001100989. The next prime is 12210001101017. The reversal of 12210001101011 is 11010110001221.

12210001101011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12210001101011 - 226 = 12209933992147 is a prime.

It is a super-3 number, since 3×122100011010113 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12210001100983 and 12210001101001.

It is not an unprimeable number, because it can be changed into a prime (12210001101017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10591670 + ... + 11687748.

It is an arithmetic number, because the mean of its divisors is an integer number (321629330880).

Almost surely, 212210001101011 is an apocalyptic number.

12210001101011 is a deficient number, since it is larger than the sum of its proper divisors (3228206781229).

12210001101011 is a wasteful number, since it uses less digits than its factorization.

12210001101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096464 (or 1096457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12210001101011 its reverse (11010110001221), we get a palindrome (23220111102232).

The spelling of 12210001101011 in words is "twelve trillion, two hundred ten billion, one million, one hundred one thousand, eleven".

Divisors: 1 7 17 43 49 119 301 311 731 833 2107 2177 5117 5287 13373 15239 35819 37009 93611 227341 259063 655277 1096079 1591387 7672553 11139709 18633343 47131397 53707871 130433401 329919779 340880569 801233749 913033807 2309438453 2386163983 5608636243 5794969673 14657864467 16703147881 39260453701 40564787711 102605051269 249183695939 283953513977 718235358883 1744285871573 12210001101011