Base | Representation |
---|---|
bin | 101110100111111001… |
… | …1000001000000010100 |
3 | 100120102202010110210100 |
4 | 1131033303001000110 |
5 | 3120022443140312 |
6 | 113555035454100 |
7 | 10143066432165 |
oct | 1351763010024 |
9 | 316382113710 |
10 | 100123021332 |
11 | 39509920924 |
12 | 174a2bb7330 |
13 | 9598153929 |
14 | 4bbb52576c |
15 | 290ee3a5dc |
hex | 174fcc1014 |
100123021332 has 18 divisors (see below), whose sum is σ = 253088748458. Its totient is φ = 33374340432.
The previous prime is 100123021309. The next prime is 100123021393. The reversal of 100123021332 is 233120321001.
100123021332 is a `hidden beast` number, since 100 + 1 + 230 + 2 + 1 + 332 = 666.
It can be written as a sum of positive squares in only one way, i.e., 60838195716 + 39284825616 = 246654^2 + 198204^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1390597483 + ... + 1390597554.
Almost surely, 2100123021332 is an apocalyptic number.
100123021332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
100123021332 is an abundant number, since it is smaller than the sum of its proper divisors (152965727126).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100123021332 is a wasteful number, since it uses less digits than its factorization.
100123021332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2781195047 (or 2781195042 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 100123021332 its reverse (233120321001), we get a palindrome (333243342333).
The spelling of 100123021332 in words is "one hundred billion, one hundred twenty-three million, twenty-one thousand, three hundred thirty-two".
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