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100012011200088 = 233132112143708913
BaseRepresentation
bin10110101111010111011100…
…011001101001111001011000
3111010010001111000111201021020
4112233113130121221321120
5101102044044331400323
6552412514512242440
730031425604514301
oct2657273431517130
9433101430451236
10100012011200088
1129959946018619
12b272bb8240420
1343a61276cc630
141a9a8701077a8
15b8681e003ae3
hex5af5dc669e58

100012011200088 has 128 divisors (see below), whose sum is σ = 270665860577280. Its totient is φ = 30612748400640.

The previous prime is 100012011200053. The next prime is 100012011200089. The reversal of 100012011200088 is 880002110210001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012011200089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140723520 + ... + 141432432.

It is an arithmetic number, because the mean of its divisors is an integer number (2114577035760).

Almost surely, 2100012011200088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100012011200088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135332930288640).

100012011200088 is an abundant number, since it is smaller than the sum of its proper divisors (170653849377192).

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

100012011200088 is a wasteful number, since it uses less digits than its factorization.

100012011200088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711289 (or 711285 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

Adding to 100012011200088 its reverse (880002110210001), we get a palindrome (980014121410089).

The spelling of 100012011200088 in words is "one hundred trillion, twelve billion, eleven million, two hundred thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 211 312 422 633 844 1266 1688 2143 2532 2743 4286 5064 5486 6429 8229 8572 10972 12858 16458 17144 21944 25716 27859 32916 51432 55718 65832 83577 111436 167154 222872 334308 452173 668616 708913 904346 1356519 1417826 1808692 2126739 2713038 2835652 3617384 4253478 5426076 5671304 5878249 8506956 9215869 10852152 11756498 17013912 17634747 18431738 23512996 27647607 35269494 36863476 47025992 55295214 70538988 73726952 110590428 141077976 149580643 221180856 299161286 448741929 598322572 897483858 1196645144 1519200559 1794967716 1944548359 3038401118 3589935432 3889096718 4557601677 5833645077 6076802236 7778193436 9115203354 11667290154 12153604472 15556386872 18230406708 19749607267 23334580308 36460813416 39499214534 46669160616 59248821801 78998429068 118497643602 157996858136 236995287204 320551317949 473990574408 641102635898 961653953847 1282205271796 1923307907694 2564410543592 3846615815388 4167167133337 7693231630776 8334334266674 12501501400011 16668668533348 25003002800022 33337337066696 50006005600044 100012011200088