Base | Representation |
---|---|
bin | 111100011001000… |
… | …110000000000000 |
3 | 2121121112110101101 |
4 | 330121012000000 |
5 | 4033340224021 |
6 | 244312344144 |
7 | 34052103220 |
oct | 7431060000 |
9 | 2547473341 |
10 | 1013211136 |
11 | 47aa27583 |
12 | 2433a5054 |
13 | 131bb4522 |
14 | 987ca080 |
15 | 5de40a91 |
hex | 3c646000 |
1013211136 has 56 divisors (see below), whose sum is σ = 2315900880. Its totient is φ = 434208768.
The previous prime is 1013211131. The next prime is 1013211163. The reversal of 1013211136 is 6311123101.
It is a tau number, because it is divible by the number of its divisors (56).
It is a super-2 number, since 2×10132111362 = 2053193612228820992, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1013211131) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48510 + ... + 66178.
Almost surely, 21013211136 is an apocalyptic number.
1013211136 is a gapful number since it is divisible by the number (16) 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 1013211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157950440).
1013211136 is an abundant number, since it is smaller than the sum of its proper divisors (1302689744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1013211136 is an frugal number, since it uses more digits than its factorization.
1013211136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17702 (or 17678 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 19.
The square root of 1013211136 is about 31830.9776161525. The cubic root of 1013211136 is about 1004.3844604120.
Adding to 1013211136 its reverse (6311123101), we get a palindrome (7324334237).
The spelling of 1013211136 in words is "one billion, thirteen million, two hundred eleven thousand, one hundred thirty-six".
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