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22003133110002 = 2341135833446117
BaseRepresentation
bin1010000000011000000001…
…11011101101011011110010
32212220110221011210211120000
411000030000323231123302
510340444404034010002
6114444033320330430
74430450102355312
oct500140073553362
985813834724500
1022003133110002
117013527024830
122574430913a16
13c37b6a996845
14560d58c83442
15282542e4c61c
hex140300eed6f2

22003133110002 has 80 divisors (see below), whose sum is σ = 53800463388672. Its totient is φ = 6665753256480.

The previous prime is 22003133110001. The next prime is 22003133110019. The reversal of 22003133110002 is 20001133130022.

22003133110002 is a `hidden beast` number, since 2 + 200 + 31 + 331 + 100 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22003133110001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4661848 + ... + 8107964.

Almost surely, 222003133110002 is an apocalyptic number.

22003133110002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22003133110002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26900231694336).

22003133110002 is an abundant number, since it is smaller than the sum of its proper divisors (31797330278670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22003133110002 is a wasteful number, since it uses less digits than its factorization.

22003133110002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449725 (or 3449716 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22003133110002 its reverse (20001133130022), we get a palindrome (42004266240024).

The spelling of 22003133110002 in words is "twenty-two trillion, three billion, one hundred thirty-three million, one hundred ten thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 3583 7166 10749 21498 32247 39413 64494 78826 96741 118239 193482 236478 290223 354717 580446 709434 1064151 2128302 3192453 3446117 6384906 6892234 10338351 20676702 31015053 37907287 62030106 75814574 93045159 113721861 186090318 227443722 279135477 341165583 558270954 682331166 1023496749 2046993498 3070490247 6140980494 12347437211 24694874422 37042311633 74084623266 111126934899 135821809321 222253869798 271643618642 333380804697 407465427963 666761609394 814930855926 1000142414091 1222396283889 2000284828182 2444792567778 3667188851667 7334377703334 11001566555001 22003133110002