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131212214133003 = 32412269392939887
BaseRepresentation
bin11101110101011000111001…
…011010011110000100001011
3122012120202122210202122100200
4131311120321122132010023
5114144240103304224003
61143022020425503243
736431524661630643
oct3565307132360413
9565522583678320
10131212214133003
1138898873201213
1212871981041b23
13582a349499813
1424589c2925523
1510281e67016a3
hex77563969e10b

131212214133003 has 48 divisors (see below), whose sum is σ = 194291280892800. Its totient is φ = 85279816258560.

The previous prime is 131212214132977. The next prime is 131212214133037. The reversal of 131212214133003 is 300331412212131.

131212214133003 is a `hidden beast` number, since 1 + 3 + 1 + 21 + 221 + 413 + 3 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 131212214133003 - 210 = 131212214131979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131212214133053) 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, 3289578526 + ... + 3289618412.

It is an arithmetic number, because the mean of its divisors is an integer number (4047735018600).

Almost surely, 2131212214133003 is an apocalyptic number.

131212214133003 is a deficient number, since it is larger than the sum of its proper divisors (63079066759797).

131212214133003 is a wasteful number, since it uses less digits than its factorization.

131212214133003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46132 (or 46129 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131212214133003 its reverse (300331412212131), we get a palindrome (431543626345134).

The spelling of 131212214133003 in words is "one hundred thirty-one trillion, two hundred twelve billion, two hundred fourteen million, one hundred thirty-three thousand, three".

Divisors: 1 3 9 41 123 369 2269 3929 6807 11787 20421 35361 39887 93029 119661 161089 279087 358983 483267 837261 1449801 1635367 4906101 8914901 14718303 26744703 80234109 90503603 156716023 271510809 365510941 470148069 814532427 1096532823 1410444207 3289598469 3710647723 6425356943 11131943169 19276070829 33395829507 57828212487 355588656187 1066765968561 3200297905683 14579134903667 43737404711001 131212214133003