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12103233222213 = 34729731437541
BaseRepresentation
bin1011000000100000000011…
…1010101011011001000101
31120212001120010121011010000
42300020000322223121011
53041244410201102323
641424052032151513
72356300254636600
oct260100072533105
946761503534100
1012103233222213
113946a52694681
121435830398599
1369a43a000663
142dbb2a1d5337
1515ec75e1be43
hexb0200eab645

12103233222213 has 60 divisors (see below), whose sum is σ = 21248823263052. Its totient is φ = 6844832709120.

The previous prime is 12103233222109. The next prime is 12103233222221. The reversal of 12103233222213 is 31222233230121.

12103233222213 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 323 + 322 + 2 + 2 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6844178035044 + 5259055187169 = 2616138^2 + 2293263^2 .

It is not a de Polignac number, because 12103233222213 - 28 = 12103233221957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103233222313) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 15333778 + ... + 16103763.

Almost surely, 212103233222213 is an apocalyptic number.

It is an amenable number.

12103233222213 is a deficient number, since it is larger than the sum of its proper divisors (9145590040839).

12103233222213 is an equidigital number, since it uses as much as digits as its factorization.

12103233222213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31437664 (or 31437648 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12103233222213 its reverse (31222233230121), we get a palindrome (43325466452334).

The spelling of 12103233222213 in words is "twelve trillion, one hundred three billion, two hundred thirty-three million, two hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 81 97 147 189 291 441 567 679 873 1323 2037 2619 3969 4753 6111 7857 14259 18333 42777 54999 128331 384993 31437541 94312623 220062787 282937869 660188361 848813607 1540439509 1980565083 2546440821 3049441477 4621318527 5941695249 9148324431 13863955581 17825085747 21346090339 27444973293 41591866743 64038271017 82334919879 124775600229 149422632373 192114813051 247004759637 448267897119 576344439153 1344803691357 1729033317459 4034411074071 12103233222213