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201211120011 = 31161751133097
BaseRepresentation
bin1011101101100100011…
…1100000100110001011
3201020100202012221211010
42323121013200212023
511244040021320021
6232233552335003
720352125205066
oct2733107404613
9636322187733
10201211120011
1178373482630
1232bb5244463
1315c88207c35
149a4aca78dd
155379959976
hex2ed91e098b

201211120011 has 32 divisors (see below), whose sum is σ = 297866935296. Its totient is φ = 119786400000.

The previous prime is 201211120003. The next prime is 201211120057. The reversal of 201211120011 is 110021112102.

201211120011 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 201211120011 - 23 = 201211120003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201211127011) 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 31 ways as a sum of consecutive naturals, for example, 1445215 + ... + 1578311.

It is an arithmetic number, because the mean of its divisors is an integer number (9308341728).

Almost surely, 2201211120011 is an apocalyptic number.

201211120011 is a deficient number, since it is larger than the sum of its proper divisors (96655815285).

201211120011 is a wasteful number, since it uses less digits than its factorization.

201211120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133923.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201211120011 its reverse (110021112102), we get a palindrome (311232232113).

The spelling of 201211120011 in words is "two hundred one billion, two hundred eleven million, one hundred twenty thousand, eleven".

Divisors: 1 3 11 33 61 183 671 751 2013 2253 8261 24783 45811 133097 137433 399291 503921 1464067 1511763 4392201 8118917 24356751 89308087 99955847 267924261 299867541 1099514317 3298542951 6097306667 18291920001 67070373337 201211120011