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1305431032212 = 2232270713395631
BaseRepresentation
bin10010111111110001110…
…000001100000110010100
311121210112201210110211100
4102333301300030012110
5132342010321012322
62435412353310100
7163212540455466
oct22776160140624
94553481713740
101305431032212
114636a287006a
12191002265330
1396142341378
144727c9ac136
1523e55b1edac
hex12ff1c0c194

1305431032212 has 36 divisors (see below), whose sum is σ = 3301058802496. Its totient is φ = 434982897360.

The previous prime is 1305431032201. The next prime is 1305431032261. The reversal of 1305431032212 is 2122301345031.

1305431032212 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 431 + 0 + 3 + 221 + 2 = 666.

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

It is a super-2 number, since 2×13054310322122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6600364 + ... + 6795267.

Almost surely, 21305431032212 is an apocalyptic number.

1305431032212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1305431032212 is an abundant number, since it is smaller than the sum of its proper divisors (1995627770284).

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

1305431032212 is a wasteful number, since it uses less digits than its factorization.

1305431032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13398348 (or 13398343 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1305431032212 its reverse (2122301345031), we get a palindrome (3427732377243).

The spelling of 1305431032212 in words is "one trillion, three hundred five billion, four hundred thirty-one million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2707 5414 8121 10828 16242 24363 32484 48726 97452 13395631 26791262 40186893 53582524 80373786 120560679 160747572 241121358 482242716 36261973117 72523946234 108785919351 145047892468 217571838702 326357758053 435143677404 652715516106 1305431032212