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100044133012011 = 341731092233471321
BaseRepresentation
bin10110101111110101010111…
…000000101001001000101011
3111010020010101122100211102010
4112233311113000221020223
5101103110341022341021
6552435350142211003
730033643610433606
oct2657652700511053
9433203348324363
10100044133012011
1129971529a38321
12b279281883a63
1343a917654b636
141a9c23a27933d
15b8759e052976
hex5afd5702922b

100044133012011 has 128 divisors (see below), whose sum is σ = 140926414970880. Its totient is φ = 63073835827200.

The previous prime is 100044133012009. The next prime is 100044133012039. The reversal of 100044133012011 is 110210331440001.

It is not a de Polignac number, because 100044133012011 - 21 = 100044133012009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100044133014011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75733635231 + ... + 75733636551.

It is an arithmetic number, because the mean of its divisors is an integer number (1100987616960).

Almost surely, 2100044133012011 is an apocalyptic number.

100044133012011 is a deficient number, since it is larger than the sum of its proper divisors (40882281958869).

100044133012011 is a wasteful number, since it uses less digits than its factorization.

100044133012011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 100044133012011 its reverse (110210331440001), we get a palindrome (210254464452012).

The spelling of 100044133012011 in words is "one hundred trillion, forty-four billion, one hundred thirty-three million, twelve thousand, eleven".

Divisors: 1 3 41 73 109 123 219 223 327 347 669 1041 1321 2993 3963 4469 7957 8979 9143 13407 14227 16279 23871 24307 25331 27429 37823 42681 48837 54161 72921 75993 77381 96433 113469 143989 162483 232143 289299 294583 326237 431967 458387 667439 883749 978711 996587 1038571 1375161 1550743 1774411 2002317 2761079 2989761 3115713 3172621 3953753 4652229 5323233 5648813 5903549 8283237 8434529 9517863 10511197 11861259 12077903 16946439 17710647 18793867 21504559 25303587 31533591 32109547 33462251 36233709 49964183 56381601 64513677 72750851 96328641 100386753 102220301 113204239 149892549 218252553 231601333 306660903 339612717 345815689 430959077 615720617 694803999 881686919 1037447067 1292877231 1316491427 1371952291 1847161851 2048531503 2343996931 2645060757 3647385359 3949474281 4115856873 4191032341 6145594509 7031990793 7462081973 10942156077 11142012809 12573097023 22386245919 25244545297 33426038427 75733635891 96103874171 149542799719 288311622513 305945360893 448628399157 456822525169 813366935057 917836082679 1370467575507 2440100805171 33348044337337 100044133012011