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100123022124 = 223210925515551
BaseRepresentation
bin101110100111111001…
…1000001001100101100
3100120102202010111212200
41131033303001030230
53120022443201444
6113555035501500
710143066434406
oct1351763011454
9316382114780
10100123022124
1139509921484
12174a2bb7890
1395981540b8
144bbb525b76
15290ee3a969
hex174fcc132c

100123022124 has 36 divisors (see below), whose sum is σ = 255410675520. Its totient is φ = 33068152800.

The previous prime is 100123022101. The next prime is 100123022137. The reversal of 100123022124 is 421220321001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 100123022097 and 100123022106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12753852 + ... + 12761699.

Almost surely, 2100123022124 is an apocalyptic number.

It is an amenable number.

100123022124 is an abundant number, since it is smaller than the sum of its proper divisors (155287653396).

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

100123022124 is a wasteful number, since it uses less digits than its factorization.

100123022124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25515670 (or 25515665 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100123022124 its reverse (421220321001), we get a palindrome (521343343125).

The spelling of 100123022124 in words is "one hundred billion, one hundred twenty-three million, twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 25515551 51031102 76546653 102062204 153093306 229639959 306186612 459279918 918559836 2781195059 5562390118 8343585177 11124780236 16687170354 25030755531 33374340708 50061511062 100123022124