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10031112 = 23327131531
BaseRepresentation
bin100110010001…
…000000001000
3200212122002200
4212101000020
510031443422
6555000200
7151156140
oct46210010
920778080
1010031112
115731583
123439060
132102a90
141491920
15d322ac
hex991008

10031112 has 96 divisors (see below), whose sum is σ = 33458880. Its totient is φ = 2643840.

The previous prime is 10031053. The next prime is 10031113. The reversal of 10031112 is 21113001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10031094 and 10031103.

It is not an unprimeable number, because it can be changed into a prime (10031113) 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, 5787 + ... + 7317.

It is an arithmetic number, because the mean of its divisors is an integer number (348530).

Almost surely, 210031112 is an apocalyptic number.

10031112 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 10031112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729440).

10031112 is an abundant number, since it is smaller than the sum of its proper divisors (23427768).

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

10031112 is a wasteful number, since it uses less digits than its factorization.

10031112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10031112 is about 3167.1930790528. The cubic root of 10031112 is about 215.6666669321. Note that the first 6 decimals are identical.

Adding to 10031112 its reverse (21113001), we get a palindrome (31144113).

The spelling of 10031112 in words is "ten million, thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1531 1638 2184 3062 3276 4593 6124 6552 9186 10717 12248 13779 18372 19903 21434 27558 32151 36744 39806 42868 55116 59709 64302 79612 85736 96453 110232 119418 128604 139321 159224 179127 192906 238836 257208 278642 358254 385812 417963 477672 557284 716508 771624 835926 1114568 1253889 1433016 1671852 2507778 3343704 5015556 10031112