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201011121201111 = 313199193113412821
BaseRepresentation
bin101101101101000110001100…
…011110011001111111010111
3222100201110211122120000221220
4231231012030132121333113
5202321331234011413421
61551303122333541423
760224400653602434
oct5555061436317727
9870643748500856
10201011121201111
1159059379629241
121a665375944873
1388213626098a0
14378cdc108ab8b
151838b61d363c6
hexb6d18c799fd7

201011121201111 has 32 divisors (see below), whose sum is σ = 290232007564800. Its totient is φ = 123013800835200.

The previous prime is 201011121201091. The next prime is 201011121201119. The reversal of 201011121201111 is 111102121110102.

It is a de Polignac number, because none of the positive numbers 2k-201011121201111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011121201119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8280081 + ... + 21692901.

It is an arithmetic number, because the mean of its divisors is an integer number (9069750236400).

Almost surely, 2201011121201111 is an apocalyptic number.

201011121201111 is a deficient number, since it is larger than the sum of its proper divisors (89220886363689).

201011121201111 is a wasteful number, since it uses less digits than its factorization.

201011121201111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13414967.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 201011121201111 its reverse (111102121110102), we get a palindrome (312113242311213).

The spelling of 201011121201111 in words is "two hundred one trillion, eleven billion, one hundred twenty-one million, two hundred one thousand, one hundred eleven".

Divisors: 1 3 13 39 199 597 1931 2587 5793 7761 25103 75309 384269 1152807 4995497 13412821 14986491 40238463 174366673 523100019 2669151379 8007454137 25900157351 34698967927 77700472053 104096903781 336702045563 1010106136689 5154131312849 15462393938547 67003707067037 201011121201111