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331202002000212 = 223271314293658731
BaseRepresentation
bin100101101001110011111100…
…1101011011001100101010100
31121102200121020222110121022200
41023103213321223121211110
5321402403200003001322
63132224033233524500
7126522361235454540
oct11323477153314524
91542617228417280
10331202002000212
1196592a8678aaa2
1231191200413730
13112a62a3b26675
145bb0396166a20
1528454cde7d8ac
hex12d39f9ad9954

331202002000212 has 36 divisors (see below), whose sum is σ = 956805783556896. Its totient is φ = 94629143428560.

The previous prime is 331202002000193. The next prime is 331202002000271. The reversal of 331202002000212 is 212000200202133.

331202002000212 is a `hidden beast` number, since 3 + 31 + 20 + 200 + 200 + 0 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3312020020002122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657146829114 + ... + 657146829617.

It is an arithmetic number, because the mean of its divisors is an integer number (26577938432136).

Almost surely, 2331202002000212 is an apocalyptic number.

It is an amenable number.

331202002000212 is an abundant number, since it is smaller than the sum of its proper divisors (625603781556684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331202002000212 is a wasteful number, since it uses less digits than its factorization.

331202002000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314293658748 (or 1314293658743 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 331202002000212 its reverse (212000200202133), we get a palindrome (543202202202345).

The spelling of 331202002000212 in words is "three hundred thirty-one trillion, two hundred two billion, two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1314293658731 2628587317462 3942880976193 5257174634924 7885761952386 9200055611117 11828642928579 15771523904772 18400111222234 23657285857158 27600166833351 36800222444468 47314571714316 55200333666702 82800500500053 110400667333404 165601001000106 331202002000212