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20100103310133 = 3271137783904813
BaseRepresentation
bin1001001000111111010111…
…00001001000101100110101
32122011112212202111112202200
410210133223201020230311
510113310002421411013
6110425505431255113
74143120204100050
oct444375341105465
978145782445680
1020100103310133
11644a451345610
12230764bb1a499
13b2a57c325822
144d6bc8cd1a97
1524ccb31cae73
hex1247eb848b35

20100103310133 has 48 divisors (see below), whose sum is σ = 37175901899136. Its totient is φ = 10159406363520.

The previous prime is 20100103310101. The next prime is 20100103310197. The reversal of 20100103310133 is 33101330100102.

It is a happy number.

20100103310133 is a `hidden beast` number, since 20 + 100 + 103 + 310 + 133 = 666.

It is not a de Polignac number, because 20100103310133 - 25 = 20100103310101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100103310933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391926766 + ... + 391978047.

It is an arithmetic number, because the mean of its divisors is an integer number (774497956232).

Almost surely, 220100103310133 is an apocalyptic number.

It is an amenable number.

20100103310133 is a deficient number, since it is larger than the sum of its proper divisors (17075798589003).

20100103310133 is a wasteful number, since it uses less digits than its factorization.

20100103310133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783904874 (or 783904871 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 20100103310133 its reverse (33101330100102), we get a palindrome (53201433410235).

The spelling of 20100103310133 in words is "twenty trillion, one hundred billion, one hundred three million, three hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 21 33 37 63 77 99 111 231 259 333 407 693 777 1221 2331 2849 3663 8547 25641 783904813 2351714439 5487333691 7055143317 8622952943 16462001073 25868858829 29004478081 49386003219 60360670601 77606576487 87013434243 181082011803 203031346567 261040302729 319049258891 543246035409 609094039701 957147776673 1827282119103 2233344812237 2871443330019 6700034436711 20100103310133