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1011212201133 = 321071139919377
BaseRepresentation
bin11101011011100001111…
…00011010110010101101
310120200010010011020221200
432231300330122302231
5113031430310414013
62052313334520113
7133025531614041
oct16556074326255
93520103136850
101011212201133
1135a941a1a622
12143b90b06039
137448415cb94
1436d2b594021
151b485c6ee73
hexeb70f1acad

1011212201133 has 48 divisors (see below), whose sum is σ = 1488997126656. Its totient is φ = 661192519680.

The previous prime is 1011212201123. The next prime is 1011212201177. The reversal of 1011212201133 is 3311022121101.

It is not a de Polignac number, because 1011212201133 - 24 = 1011212201117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011212201123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107834941 + ... + 107844317.

It is an arithmetic number, because the mean of its divisors is an integer number (31020773472).

Almost surely, 21011212201133 is an apocalyptic number.

It is an amenable number.

1011212201133 is a deficient number, since it is larger than the sum of its proper divisors (477784925523).

1011212201133 is a wasteful number, since it uses less digits than its factorization.

1011212201133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 10591 counting only the distinct ones).

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

Adding to 1011212201133 its reverse (3311022121101), we get a palindrome (4322234322234).

The spelling of 1011212201133 in words is "one trillion, eleven billion, two hundred twelve million, two hundred one thousand, one hundred thirty-three".

Divisors: 1 3 9 107 113 321 339 963 991 1017 2973 8919 9377 12091 28131 36273 84393 106037 108819 111983 318111 335949 954333 1003339 1007847 1059601 3010017 3178803 9030051 9292607 9536409 11982181 27877821 35946543 83633463 107839629 113377307 340131921 994308949 1020395763 1050064591 2982926847 3150193773 8948780541 9450581319 112356911237 337070733711 1011212201133