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1056036216213 = 3211137349223099
BaseRepresentation
bin11110101111000001010…
…10011101110110010101
310201221210222110011002100
433113200222131312111
5114300230232404323
62125045241032313
7136203363505536
oct17274052356625
93657728404070
101056036216213
11377953a05590
12150800485699
1378778774824
14391806d268d
151c70aee9943
hexf5e0a9dd95

1056036216213 has 48 divisors (see below), whose sum is σ = 1681013880000. Its totient is φ = 633526928640.

The previous prime is 1056036216199. The next prime is 1056036216217. The reversal of 1056036216213 is 3126126306501.

1056036216213 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 3 + 6 + 21 + 621 + 3 = 666.

It is not a de Polignac number, because 1056036216213 - 218 = 1056035954069 is a prime.

It is a super-2 number, since 2×10560362162132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056036216217) 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 47 ways as a sum of consecutive naturals, for example, 4621938 + ... + 4845036.

It is an arithmetic number, because the mean of its divisors is an integer number (35021122500).

Almost surely, 21056036216213 is an apocalyptic number.

It is an amenable number.

1056036216213 is a deficient number, since it is larger than the sum of its proper divisors (624977663787).

1056036216213 is a wasteful number, since it uses less digits than its factorization.

1056036216213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223602 (or 223599 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1056036216213 in words is "one trillion, fifty-six billion, thirty-six million, two hundred sixteen thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 99 137 349 411 1047 1233 1507 3141 3839 4521 11517 13563 34551 47813 143439 223099 430317 525943 669297 1577829 2007891 2454089 4733487 7362267 22086801 30564563 77861551 91693689 233584653 275081067 336210193 700753959 856477061 1008630579 2569431183 3025891737 7708293549 10667032487 32001097461 96003292383 117337357357 352012072071 1056036216213