Base | Representation |
---|---|
bin | 10000001011101111100… |
… | …001001000001001100000 |
3 | 10221022120112222121200010 |
4 | 100023233201020021200 |
5 | 121210110210013440 |
6 | 2210522331124520 |
7 | 143230241015532 |
oct | 20135741101140 |
9 | 3838515877603 |
10 | 1112120001120 |
11 | 399713825247 |
12 | 15b6528a3740 |
13 | 80b45a6737b |
14 | 3bb81001852 |
15 | 1dddea27580 |
hex | 102ef848260 |
1112120001120 has 384 divisors, whose sum is σ = 3645144695808. Its totient is φ = 284820480000.
The previous prime is 1112120001071. The next prime is 1112120001127. The reversal of 1112120001120 is 211000212111.
It is a super-2 number, since 2×11121200011202 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 1112120001096 and 1112120001105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1112120001127) 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, 314778874 + ... + 314782406.
It is an arithmetic number, because the mean of its divisors is an integer number (9492564312).
Almost surely, 21112120001120 is an apocalyptic number.
1112120001120 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 1112120001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822572347904).
1112120001120 is an abundant number, since it is smaller than the sum of its proper divisors (2533024694688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1112120001120 is a wasteful number, since it uses less digits than its factorization.
1112120001120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3846 (or 3838 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 12.
Adding to 1112120001120 its reverse (211000212111), we get a palindrome (1323120213231).
The spelling of 1112120001120 in words is "one trillion, one hundred twelve billion, one hundred twenty million, one thousand, one hundred twenty".
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