Search a number
-
+
1112313044040 = 2335114120552717
BaseRepresentation
bin10000001011111011000…
…001100001110001001000
310221100002000020012202220
4100023323001201301020
5121211004114402130
62210553424454040
7143235103606062
oct20137301416110
93840060205686
101112313044040
11399802796250
1215b6a747a320
1380b76a56b53
143bb9c8d2732
151de0195a410
hex102fb061c48

1112313044040 has 128 divisors (see below), whose sum is σ = 3729085153920. Its totient is φ = 263074764800.

The previous prime is 1112313044039. The next prime is 1112313044041. The reversal of 1112313044040 is 404403132111.

It is an interprime number because it is at equal distance from previous prime (1112313044039) and next prime (1112313044041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1112313044040.

It is not an unprimeable number, because it can be changed into a prime (1112313044041) 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, 10222239 + ... + 10330478.

It is an arithmetic number, because the mean of its divisors is an integer number (29133477765).

Almost surely, 21112313044040 is an apocalyptic number.

1112313044040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112313044040 is an abundant number, since it is smaller than the sum of its proper divisors (2616772109880).

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

1112313044040 is a wasteful number, since it uses less digits than its factorization.

1112313044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20552783 (or 20552779 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1112313044040 its reverse (404403132111), we get a palindrome (1516716176151).

The spelling of 1112313044040 in words is "one trillion, one hundred twelve billion, three hundred thirteen million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1230 1320 1353 1640 1804 2255 2460 2706 3608 4510 4920 5412 6765 9020 10824 13530 18040 27060 54120 20552717 41105434 61658151 82210868 102763585 123316302 164421736 205527170 226079887 246632604 308290755 411054340 452159774 493265208 616581510 678239661 822108680 842661397 904319548 1130399435 1233163020 1356479322 1685322794 1808639096 2260798870 2466326040 2527984191 2712958644 3370645588 3391198305 4213306985 4521597740 5055968382 5425917288 6741291176 6782396610 8426613970 9043195480 9269275367 10111936764 12639920955 13564793220 16853227940 18538550734 20223873528 25279841910 27129586440 27807826101 33706455880 37077101468 46346376835 50559683820 55615652202 74154202936 92692753670 101119367640 111231304404 139039130505 185385507340 222462608808 278078261010 370771014680 556156522020 1112313044040