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100101111000924 = 223113129383490229
BaseRepresentation
bin10110110000101010011011…
…001010011010111101011100
3111010102120110112111120021210
4112300222123022122331130
5101110024033404012144
6552521452054224420
730041031563362425
oct2660523312327534
9433376415446253
10100101111000924
1129993708590760
12b288323655110
1343b1656b88687
141aa0cc363664c
15b88cd6314ab9
hex5b0a9b29af5c

100101111000924 has 96 divisors (see below), whose sum is σ = 263919964170240. Its totient is φ = 29254975891200.

The previous prime is 100101111000923. The next prime is 100101111000977. The reversal of 100101111000924 is 429000111101001.

It is a self number, because there is not a number n which added to its sum of digits gives 100101111000924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101111000923) 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, 40546159 + ... + 42944070.

It is an arithmetic number, because the mean of its divisors is an integer number (2749166293440).

Almost surely, 2100101111000924 is an apocalyptic number.

It is an amenable number.

100101111000924 is an abundant number, since it is smaller than the sum of its proper divisors (163818853169316).

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

100101111000924 is a wasteful number, since it uses less digits than its factorization.

100101111000924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83490571 (or 83490569 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 100101111000924 its reverse (429000111101001), we get a palindrome (529101222101925).

The spelling of 100101111000924 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, nine hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 293 341 372 586 682 879 1023 1172 1364 1758 2046 3223 3516 4092 6446 9083 9669 12892 18166 19338 27249 36332 38676 54498 99913 108996 199826 299739 399652 599478 1198956 83490229 166980458 250470687 333960916 500941374 918392519 1001882748 1836785038 2588197099 2755177557 3673570076 5176394198 5510355114 7764591297 10352788396 11020710228 15529182594 24462637097 28470168089 31058365188 48925274194 56940336178 73387911291 85410504267 97850548388 113880672356 146775822582 170821008534 269089008067 293551645164 341642017068 538178016134 758341750007 807267024201 1076356032268 1516683500014 1614534048402 2275025250021 3033367000028 3229068096804 4550050500042 8341759250077 9100101000084 16683518500154 25025277750231 33367037000308 50050555500462 100101111000924