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31112424 = 23347193
BaseRepresentation
bin111011010101…
…1110011101000
32011112200020000
41312223303220
530431044144
63030503000
7525310530
oct166536350
964480200
1031112424
1116620252
12a504a60
1365a4425
1441bc4c0
152ae8769
hex1dabce8

31112424 has 160 divisors (see below), whose sum is σ = 105124800. Its totient is φ = 8421408.

The previous prime is 31112401. The next prime is 31112441. The reversal of 31112424 is 42421113.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31112397 and 31112406.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1637487 + ... + 1637505.

It is an arithmetic number, because the mean of its divisors is an integer number (657030).

Almost surely, 231112424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31112424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52562400).

31112424 is an abundant number, since it is smaller than the sum of its proper divisors (74012376).

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

31112424 is an equidigital number, since it uses as much as digits as its factorization.

31112424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 31 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 31112424 is about 5577.8511991626. The cubic root of 31112424 is about 314.5173561074.

Adding to 31112424 its reverse (42421113), we get a palindrome (73533537).

The spelling of 31112424 in words is "thirty-one million, one hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 361 378 399 456 504 513 532 567 648 684 722 756 798 1026 1064 1083 1134 1197 1368 1444 1512 1539 1596 2052 2166 2268 2394 2527 2888 3078 3192 3249 3591 4104 4332 4536 4788 5054 6156 6498 6859 7182 7581 8664 9576 9747 10108 10773 12312 12996 13718 14364 15162 19494 20216 20577 21546 22743 25992 27436 28728 29241 30324 38988 41154 43092 45486 48013 54872 58482 60648 61731 68229 77976 82308 86184 90972 96026 116964 123462 136458 144039 164616 181944 185193 192052 204687 233928 246924 272916 288078 370386 384104 409374 432117 493848 545832 555579 576156 740772 818748 864234 1111158 1152312 1296351 1481544 1637496 1728468 2222316 2592702 3456936 3889053 4444632 5185404 7778106 10370808 15556212 31112424