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31112040 = 233517101151
BaseRepresentation
bin111011010101…
…1101101101000
32011112122200210
41312223231220
530431041130
63030501120
7525306441
oct166535550
964478623
1031112040
111661aa33
12a5047a0
1365a41bb
1441bc2c8
152ae85b0
hex1dabb68

31112040 has 128 divisors (see below), whose sum is σ = 100465920. Its totient is φ = 7680000.

The previous prime is 31112033. The next prime is 31112051. The reversal of 31112040 is 4021113.

Added to its reverse (4021113) it gives a triangular number (35133153 = T8382).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205965 + ... + 206115.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 231112040 is an apocalyptic number.

31112040 is a gapful number since it is divisible by the number (30) 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 31112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232960).

31112040 is an abundant number, since it is smaller than the sum of its proper divisors (69353880).

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

31112040 is a wasteful number, since it uses less digits than its factorization.

31112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 31112040 is about 5577.8167771988. The cubic root of 31112040 is about 314.5160621425.

Adding to 31112040 its reverse (4021113), we get a palindrome (35133153).

It can be divided in two parts, 3111 and 2040, that added together give a triangular number (5151 = T101).

The spelling of 31112040 in words is "thirty-one million, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 101 102 120 136 151 170 202 204 255 302 303 340 404 408 453 505 510 604 606 680 755 808 906 1010 1020 1208 1212 1510 1515 1717 1812 2020 2040 2265 2424 2567 3020 3030 3434 3624 4040 4530 5134 5151 6040 6060 6868 7701 8585 9060 10268 10302 12120 12835 13736 15251 15402 17170 18120 20536 20604 25670 25755 30502 30804 34340 38505 41208 45753 51340 51510 61004 61608 68680 76255 77010 91506 102680 103020 122008 152510 154020 183012 206040 228765 259267 305020 308040 366024 457530 518534 610040 777801 915060 1037068 1296335 1555602 1830120 2074136 2592670 3111204 3889005 5185340 6222408 7778010 10370680 15556020 31112040