| Base | Representation |
|---|---|
| bin | 101111111011111100… |
| … | …0010100001010010000 |
| 3 | 100211201021101100200200 |
| 4 | 1133313320110022100 |
| 5 | 3141311400422200 |
| 6 | 115142533215200 |
| 7 | 10303010626200 |
| oct | 1376770241220 |
| 9 | 324637340620 |
| 10 | 102942982800 |
| 11 | 3a7266a2699 |
| 12 | 17b4b491500 |
| 13 | 992744c898 |
| 14 | 4da7c64400 |
| 15 | 2a277b9800 |
| hex | 17f7e14290 |
102942982800 has 270 divisors, whose sum is σ = 415566477378. Its totient is φ = 23529784320.
The previous prime is 102942982799. The next prime is 102942982801. The reversal of 102942982800 is 8289249201.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (102942982799) and next prime (102942982801).
It can be written as a sum of positive squares in 3 ways, for example, as 409819536 + 102533163264 = 20244^2 + 320208^2 .
It is a super-2 number, since 2×1029429828002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (102942982801) by changing a digit.
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 53 ways as a sum of consecutive naturals, for example, 115389 + ... + 468188.
Almost surely, 2102942982800 is an apocalyptic number.
102942982800 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 102942982800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207783238689).
102942982800 is an abundant number, since it is smaller than the sum of its proper divisors (312623494578).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102942982800 is a wasteful number, since it uses less digits than its factorization.
102942982800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 583615 (or 583594 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 45.
The spelling of 102942982800 in words is "one hundred two billion, nine hundred forty-two million, nine hundred eighty-two thousand, eight hundred".
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