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21351312135 = 3251634636287
BaseRepresentation
bin10011111000101000…
…110010101100000111
32001010000021001000100
4103320220302230013
5322211413442020
613450400415143
71354051105266
oct237050625407
961100231010
1021351312135
11906729390a
12417a6174b3
13202363a30a
1410679625dd
1584e6e4a90
hex4f8a32b07

21351312135 has 48 divisors (see below), whose sum is σ = 37322348544. Its totient is φ = 11291265216.

The previous prime is 21351312127. The next prime is 21351312161. The reversal of 21351312135 is 53121315312.

21351312135 is a `hidden beast` number, since 2 + 1 + 3 + 513 + 12 + 135 = 666.

It is not a de Polignac number, because 21351312135 - 23 = 21351312127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21351312099 and 21351312108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3392962 + ... + 3399248.

It is an arithmetic number, because the mean of its divisors is an integer number (777548928).

Almost surely, 221351312135 is an apocalyptic number.

21351312135 is a deficient number, since it is larger than the sum of its proper divisors (15971036409).

21351312135 is a wasteful number, since it uses less digits than its factorization.

21351312135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6921 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

Adding to 21351312135 its reverse (53121315312), we get a palindrome (74472627447).

The spelling of 21351312135 in words is "twenty-one billion, three hundred fifty-one million, three hundred twelve thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 163 463 489 815 1389 1467 2315 2445 4167 6287 6945 7335 18861 20835 31435 56583 75469 94305 226407 282915 377345 679221 1024781 1132035 2910881 3074343 3396105 5123905 8732643 9223029 14554405 15371715 26197929 43663215 46115145 130989645 474473603 1423420809 2372368015 4270262427 7117104045 21351312135