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1322101003113 = 331112773347819
BaseRepresentation
bin10011001111010011010…
…111000101001101101001
311200101120111021201221000
4103033103113011031221
5133130130324044423
62451210444505213
7164342616050652
oct23172327051551
94611514251830
101322101003113
1146a777604a20
12194294b4b209
139789ab51687
1447dc08dc529
15245ce355843
hex133d35c5369

1322101003113 has 64 divisors (see below), whose sum is σ = 2156536627200. Its totient is φ = 793862959680.

The previous prime is 1322101003103. The next prime is 1322101003117. The reversal of 1322101003113 is 3113001012231.

1322101003113 is a `hidden beast` number, since 132 + 210 + 10 + 0 + 311 + 3 = 666.

It is not a de Polignac number, because 1322101003113 - 25 = 1322101003081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1322101003117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27624118 + ... + 27671936.

It is an arithmetic number, because the mean of its divisors is an integer number (33695884800).

Almost surely, 21322101003113 is an apocalyptic number.

It is an amenable number.

1322101003113 is a deficient number, since it is larger than the sum of its proper divisors (834435624087).

1322101003113 is a wasteful number, since it uses less digits than its factorization.

1322101003113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48699 (or 48693 counting only the distinct ones).

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

Adding to 1322101003113 its reverse (3113001012231), we get a palindrome (4435102015344).

The spelling of 1322101003113 in words is "one trillion, three hundred twenty-two billion, one hundred one million, three thousand, one hundred thirteen".

Divisors: 1 3 9 11 27 33 99 127 297 381 733 1143 1397 2199 3429 4191 6597 8063 12573 19791 24189 37719 47819 72567 93091 143457 217701 279273 430371 526009 837819 1024001 1291113 1578027 2513457 3072003 4734081 6073013 9216009 14202243 18219039 27648027 35051327 54657117 66803143 105153981 163971351 200409429 315461943 385564597 601228287 946385829 1156693791 1803684861 3470081373 4451518529 10410244119 13354555587 40063666761 48966703819 120191000283 146900111457 440700334371 1322101003113