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112231003032 = 23337913947317
BaseRepresentation
bin110100010000101111…
…1010011001110011000
3101201200120102200012000
41220201133103032120
53314322114044112
6123320323521000
711052121533321
oct1504137231630
9351616380160
10112231003032
1143662525775
1219901b29160
13a777794c45
145609611448
152dbcdda7dc
hex1a217d3398

112231003032 has 128 divisors (see below), whose sum is σ = 317976960000. Its totient is φ = 36670278528.

The previous prime is 112231002979. The next prime is 112231003037. The reversal of 112231003032 is 230300132211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112231002996 and 112231003014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112231003037) 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, 2348238 + ... + 2395554.

It is an arithmetic number, because the mean of its divisors is an integer number (2484195000).

Almost surely, 2112231003032 is an apocalyptic number.

112231003032 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 112231003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158988480000).

112231003032 is an abundant number, since it is smaller than the sum of its proper divisors (205745956968).

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

112231003032 is a wasteful number, since it uses less digits than its factorization.

112231003032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47550 (or 47540 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112231003032 its reverse (230300132211), we get a palindrome (342531135243).

The spelling of 112231003032 in words is "one hundred twelve billion, two hundred thirty-one million, three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 139 158 216 237 278 316 417 474 556 632 711 834 948 1112 1251 1422 1668 1896 2133 2502 2844 3336 3753 4266 5004 5688 7506 8532 10008 10981 15012 17064 21962 30024 32943 43924 47317 65886 87848 94634 98829 131772 141951 189268 197658 263544 283902 296487 378536 395316 425853 567804 592974 790632 851706 1135608 1185948 1277559 1703412 2371896 2555118 3406824 3738043 5110236 6577063 7476086 10220472 11214129 13154126 14952172 19731189 22428258 26308252 29904344 33642387 39462378 44856516 52616504 59193567 67284774 78924756 89713032 100927161 118387134 134569548 157849512 177580701 201854322 236774268 269139096 355161402 403708644 473548536 519587977 710322804 807417288 1039175954 1420645608 1558763931 2078351908 3117527862 4156703816 4676291793 6235055724 9352583586 12470111448 14028875379 18705167172 28057750758 37410334344 56115501516 112231003032