| Base | Representation |
|---|---|
| bin | 11101001100011110101… |
| … | …01101101001100100000 |
| 3 | 10112220021000020021120220 |
| 4 | 32212033111231030200 |
| 5 | 112413403321241000 |
| 6 | 2044455500403040 |
| 7 | 132321360054312 |
| oct | 16461725551440 |
| 9 | 3486230207526 |
| 10 | 1003132212000 |
| 11 | 357475a89156 |
| 12 | 1424b6b46480 |
| 13 | 73797191619 |
| 14 | 367a24277b2 |
| 15 | 1b1617241a0 |
| hex | e98f56d320 |
1003132212000 has 384 divisors, whose sum is σ = 3433952890368. Its totient is φ = 255512576000.
The previous prime is 1003132211993. The next prime is 1003132212007. The reversal of 1003132212000 is 2122313001.
1003132212000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1003132211993) and next prime (1003132212007).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is not an unprimeable number, because it can be changed into a prime (1003132212007) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236529880 + ... + 236534120.
It is an arithmetic number, because the mean of its divisors is an integer number (8942585652).
Almost surely, 21003132212000 is an apocalyptic number.
1003132212000 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 1003132212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716976445184).
1003132212000 is an abundant number, since it is smaller than the sum of its proper divisors (2430820678368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003132212000 is a wasteful number, since it uses less digits than its factorization.
1003132212000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5149 (or 5131 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 1003132212000 its reverse (2122313001), we get a palindrome (1005254525001).
The spelling of 1003132212000 in words is "one trillion, three billion, one hundred thirty-two million, two hundred twelve thousand".
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