| Base | Representation |
|---|---|
| bin | 101110101110000100… |
| … | …1110000111010010000 |
| 3 | 100120222012011220012000 |
| 4 | 1131130021300322100 |
| 5 | 3120434024430222 |
| 6 | 114031402434000 |
| 7 | 10151164401150 |
| oct | 1353411607220 |
| 9 | 316865156160 |
| 10 | 100330311312 |
| 11 | 39605932960 |
| 12 | 17540502900 |
| 13 | 95cc09111a |
| 14 | 4bdac84760 |
| 15 | 29232349ac |
| hex | 175c270e90 |
100330311312 has 320 divisors, whose sum is σ = 359710310400. Its totient is φ = 26011653120.
The previous prime is 100330311299. The next prime is 100330311317. The reversal of 100330311312 is 213113033001.
It is a happy number.
100330311312 is a `hidden beast` number, since 10 + 0 + 3 + 30 + 311 + 312 = 666.
It is a super-2 number, since 2×1003303113122 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (100330311317) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20188764 + ... + 20193732.
It is an arithmetic number, because the mean of its divisors is an integer number (1124094720).
Almost surely, 2100330311312 is an apocalyptic number.
100330311312 is a gapful number since it is divisible by the number (12) 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 100330311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179855155200).
100330311312 is an abundant number, since it is smaller than the sum of its proper divisors (259379999088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100330311312 is a wasteful number, since it uses less digits than its factorization.
100330311312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5611 (or 5599 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 100330311312 its reverse (213113033001), we get a palindrome (313443344313).
The spelling of 100330311312 in words is "one hundred billion, three hundred thirty million, three hundred eleven thousand, three hundred twelve".
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