| Base | Representation |
|---|---|
| bin | 111110000111101… |
| … | …110010100100100 |
| 3 | 2200122002212021100 |
| 4 | 332013232110210 |
| 5 | 4113301242012 |
| 6 | 251230120100 |
| 7 | 34553441223 |
| oct | 7607562444 |
| 9 | 2618085240 |
| 10 | 1042212132 |
| 11 | 495335445 |
| 12 | 251050030 |
| 13 | 137bc9890 |
| 14 | 9c5b8cba |
| 15 | 6176d8dc |
| hex | 3e1ee524 |
1042212132 has 144 divisors (see below), whose sum is σ = 3036105072. Its totient is φ = 298598400.
The previous prime is 1042212107. The next prime is 1042212137. The reversal of 1042212132 is 2312122401.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 342398016 + 699814116 = 18504^2 + 26454^2 .
It is a super-2 number, since 2×10422121322 = 2172412256175970848, which 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 (1042212137) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802908 + ... + 804204.
It is an arithmetic number, because the mean of its divisors is an integer number (21084063).
Almost surely, 21042212132 is an apocalyptic number.
1042212132 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 1042212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518052536).
1042212132 is an abundant number, since it is smaller than the sum of its proper divisors (1993892940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1042212132 is a wasteful number, since it uses less digits than its factorization.
1042212132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1438 (or 1433 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 1042212132 is about 32283.3104250478. The cubic root of 1042212132 is about 1013.8772420046.
Adding to 1042212132 its reverse (2312122401), we get a palindrome (3354334533).
The spelling of 1042212132 in words is "one billion, forty-two million, two hundred twelve thousand, one hundred thirty-two".
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