| Base | Representation |
|---|---|
| bin | 101110110011101111… |
| … | …0111100100000010000 |
| 3 | 100121110102220001221200 |
| 4 | 1131213132330200100 |
| 5 | 3121331211210300 |
| 6 | 114102313151200 |
| 7 | 10155663262104 |
| oct | 1354736744020 |
| 9 | 317412801850 |
| 10 | 100520413200 |
| 11 | 396a3175259 |
| 12 | 175940bb500 |
| 13 | 962c59104c |
| 14 | 4c1820b904 |
| 15 | 2934c86200 |
| hex | 17677bc810 |
100520413200 has 180 divisors, whose sum is σ = 349175801988. Its totient is φ = 26779161600.
The previous prime is 100520413199. The next prime is 100520413237. The reversal of 100520413200 is 2314025001.
100520413200 is a `hidden beast` number, since 1 + 0 + 0 + 52 + 0 + 413 + 200 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 13660416 + 100506752784 = 3696^2 + 317028^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (18).
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 35 ways as a sum of consecutive naturals, for example, 3806442 + ... + 3832758.
Almost surely, 2100520413200 is an apocalyptic number.
100520413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100520413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174587900994).
100520413200 is an abundant number, since it is smaller than the sum of its proper divisors (248655388788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100520413200 is a wasteful number, since it uses less digits than its factorization.
100520413200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27402 (or 27388 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
Adding to 100520413200 its reverse (2314025001), we get a palindrome (102834438201).
It can be divided in two parts, 10052041 and 3200, that added together give a square (10055241 = 31712).
The spelling of 100520413200 in words is "one hundred billion, five hundred twenty million, four hundred thirteen thousand, two hundred".
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