| Base | Representation |
|---|---|
| bin | 111100010100111… |
| … | …001110100000000 |
| 3 | 2121112110122112100 |
| 4 | 330110321310000 |
| 5 | 4033100101030 |
| 6 | 244233030400 |
| 7 | 34036546500 |
| oct | 7424716400 |
| 9 | 2545418470 |
| 10 | 1012112640 |
| 11 | 47a347230 |
| 12 | 242b55400 |
| 13 | 1318bb526 |
| 14 | 985c1a00 |
| 15 | 5dcc5360 |
| hex | 3c539d00 |
1012112640 has 648 divisors, whose sum is σ = 4471111008. Its totient is φ = 209018880.
The previous prime is 1012112639. The next prime is 1012112641. The reversal of 1012112640 is 462112101.
1012112640 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 1 + 2 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (1012112639) and next prime (1012112641).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1012112641) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6209199 + ... + 6209361.
Almost surely, 21012112640 is an apocalyptic number.
1012112640 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 1012112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235555504).
1012112640 is an abundant number, since it is smaller than the sum of its proper divisors (3458998368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1012112640 is a wasteful number, since it uses less digits than its factorization.
1012112640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 215 (or 191 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 1012112640 is about 31813.7177959446. The cubic root of 1012112640 is about 1004.0213537042.
Adding to 1012112640 its reverse (462112101), we get a palindrome (1474224741).
The spelling of 1012112640 in words is "one billion, twelve million, one hundred twelve thousand, six hundred forty".
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