| Base | Representation |
|---|---|
| bin | 100111000110101… |
| … | …1001000100101100 |
| 3 | 10101110000021200002 |
| 4 | 1032031121010230 |
| 5 | 10141401232140 |
| 6 | 334111323432 |
| 7 | 44341643603 |
| oct | 11615310454 |
| 9 | 3343007602 |
| 10 | 1312133420 |
| 11 | 613735294 |
| 12 | 307520578 |
| 13 | 17bac5910 |
| 14 | c639ca3a |
| 15 | 7a2da415 |
| hex | 4e35912c |
1312133420 has 96 divisors (see below), whose sum is σ = 3101958720. Its totient is φ = 462873600.
The previous prime is 1312133413. The next prime is 1312133429. The reversal of 1312133420 is 243312131.
It is a super-2 number, since 2×13121334202 = 3443388223761792800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 1312133392 and 1312133401.
It is not an unprimeable number, because it can be changed into a prime (1312133429) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760679 + ... + 762401.
It is an arithmetic number, because the mean of its divisors is an integer number (32312070).
Almost surely, 21312133420 is an apocalyptic number.
1312133420 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 1312133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550979360).
1312133420 is an abundant number, since it is smaller than the sum of its proper divisors (1789825300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1312133420 is a wasteful number, since it uses less digits than its factorization.
1312133420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1875 (or 1873 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
The square root of 1312133420 is about 36223.3822275060. The cubic root of 1312133420 is about 1094.7778425202. Note that the first 3 decimals are identical.
Adding to 1312133420 its reverse (243312131), we get a palindrome (1555445551).
The spelling of 1312133420 in words is "one billion, three hundred twelve million, one hundred thirty-three thousand, four hundred twenty".
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