| Base | Representation |
|---|---|
| bin | 10110110011110000000100… |
| … | …011101111110101100010000 |
| 3 | 111011011212020112010021211220 |
| 4 | 112303300010131332230100 |
| 5 | 101122013200232230300 |
| 6 | 553203150320205040 |
| 7 | 30062253600630303 |
| oct | 2663600435765420 |
| 9 | 434155215107756 |
| 10 | 100313331133200 |
| 11 | 29a65710297129 |
| 12 | b30148b769780 |
| 13 | 43c8677b25043 |
| 14 | 1aab296678b3a |
| 15 | b8e5a74ddda0 |
| hex | 5b3c0477eb10 |
100313331133200 has 240 divisors, whose sum is σ = 326020786923456. Its totient is φ = 26362906214400.
The previous prime is 100313331133163. The next prime is 100313331133207. The reversal of 100313331133200 is 2331133313001.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1003133311332002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (100313331133207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22757220 + ... + 26805180.
Almost surely, 2100313331133200 is an apocalyptic number.
100313331133200 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 100313331133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163010393461728).
100313331133200 is an abundant number, since it is smaller than the sum of its proper divisors (225707455790256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100313331133200 is a wasteful number, since it uses less digits than its factorization.
100313331133200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4048282 (or 4048271 counting only the distinct ones).
The product of its (nonzero) digits is 1458, while the sum is 24.
Adding to 100313331133200 its reverse (2331133313001), we get a palindrome (102644464446201).
The spelling of 100313331133200 in words is "one hundred trillion, three hundred thirteen billion, three hundred thirty-one million, one hundred thirty-three thousand, two hundred".
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