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100122202122009 = 33743190311102243
BaseRepresentation
bin10110110000111110000100…
…010010101010011100011001
3111010111120220102011112021120
4112300332010102222130121
5101110400232220401014
6552535301002155453
730042406335062364
oct2660760422523431
9433446812145246
10100122202122009
11299a1650a10141
12b29042aab2b89
1343b3638625792
141aa1d247c90db
15b8961cc60ba9
hex5b0f844aa719

100122202122009 has 32 divisors (see below), whose sum is σ = 140300247419904. Its totient is φ = 63430411746240.

The previous prime is 100122202121993. The next prime is 100122202122029. The reversal of 100122202122009 is 900221202221001.

It is not a de Polignac number, because 100122202122009 - 24 = 100122202121993 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100122202122009.

It is not an unprimeable number, because it can be changed into a prime (100122202122029) 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, 90283842 + ... + 91386084.

It is an arithmetic number, because the mean of its divisors is an integer number (4384382731872).

Almost surely, 2100122202122009 is an apocalyptic number.

It is an amenable number.

100122202122009 is a deficient number, since it is larger than the sum of its proper divisors (40178045297895).

100122202122009 is a wasteful number, since it uses less digits than its factorization.

100122202122009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121357.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 100122202122009 in words is "one hundred trillion, one hundred twenty-two billion, two hundred two million, one hundred twenty-two thousand, nine".

Divisors: 1 3 37 43 111 129 1591 4773 19031 57093 704147 818333 1102243 2112441 2454999 3306729 30278321 40782991 47396449 90834963 122348973 142189347 1753668613 5261005839 20976786533 62930359599 776141101721 902001820919 2328423305163 2706005462757 33374067374003 100122202122009