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1013213100213 = 33347943111467
BaseRepresentation
bin11101011111010000011…
…01001111100010110101
310120212021120012110111000
432233220031033202311
5113100030023201323
62053244053033513
7133126236152046
oct16575015174265
93525246173430
101013213100213
11360779420726
1214444b025899
1374712860532
143707b2048cd
151b55175de43
hexebe834f8b5

1013213100213 has 32 divisors (see below), whose sum is σ = 1505673169920. Its totient is φ = 673398638640.

The previous prime is 1013213100209. The next prime is 1013213100223. The reversal of 1013213100213 is 3120013123101.

1013213100213 is a `hidden beast` number, since 10 + 1 + 321 + 310 + 0 + 21 + 3 = 666.

It is not a de Polignac number, because 1013213100213 - 22 = 1013213100209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013213100223) 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 31 ways as a sum of consecutive naturals, for example, 88353306 + ... + 88364772.

It is an arithmetic number, because the mean of its divisors is an integer number (47052286560).

Almost surely, 21013213100213 is an apocalyptic number.

It is an amenable number.

1013213100213 is a deficient number, since it is larger than the sum of its proper divisors (492460069707).

1013213100213 is a wasteful number, since it uses less digits than its factorization.

1013213100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21254 (or 21248 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1013213100213 its reverse (3120013123101), we get a palindrome (4133226223314).

The spelling of 1013213100213 in words is "one trillion, thirteen billion, two hundred thirteen million, one hundred thousand, two hundred thirteen".

Divisors: 1 3 9 27 347 1041 3123 9369 9431 11467 28293 34401 84879 103203 254637 309609 3272557 3979049 9817671 11937147 29453013 35811441 88359039 107434323 108145277 324435831 973307493 2919922479 37526411119 112579233357 337737700071 1013213100213