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103031231112 = 233223307202661
BaseRepresentation
bin101111111110100100…
…0111101001010001000
3100211221102102211121200
41133331020331022020
53142001443343422
6115155404504200
710305132004665
oct1377510751210
9324842384550
10103031231112
113a771497987
1217b74b4b060
13993c80a414
144db5876a6c
152a303ec2ac
hex17fd23d288

103031231112 has 96 divisors (see below), whose sum is σ = 292125113280. Its totient is φ = 32743370880.

The previous prime is 103031231053. The next prime is 103031231113. The reversal of 103031231112 is 211132130301.

103031231112 is a `hidden beast` number, since 1 + 0 + 30 + 312 + 311 + 12 = 666.

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 (103031231113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407062 + ... + 609722.

It is an arithmetic number, because the mean of its divisors is an integer number (3042969930).

Almost surely, 2103031231112 is an apocalyptic number.

103031231112 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 103031231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146062556640).

103031231112 is an abundant number, since it is smaller than the sum of its proper divisors (189093882168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103031231112 is a wasteful number, since it uses less digits than its factorization.

103031231112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203003 (or 202996 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103031231112 its reverse (211132130301), we get a palindrome (314163361413).

The spelling of 103031231112 in words is "one hundred three billion, thirty-one million, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 307 414 552 614 828 921 1228 1656 1842 2456 2763 3684 5526 7061 7368 11052 14122 21183 22104 28244 42366 56488 63549 84732 127098 169464 202661 254196 405322 508392 607983 810644 1215966 1621288 1823949 2431932 3647898 4661203 4863864 7295796 9322406 13983609 14591592 18644812 27967218 37289624 41950827 55934436 62216927 83901654 111868872 124433854 167803308 186650781 248867708 335606616 373301562 497735416 559952343 746603124 1119904686 1430989321 1493206248 2239809372 2861978642 4292967963 4479618744 5723957284 8585935926 11447914568 12878903889 17171871852 25757807778 34343743704 51515615556 103031231112