Search a number
-
+
1031314004112 = 2437109190114813
BaseRepresentation
bin11110000000111110001…
…10101101100010010000
310122121000001020122122010
433000133012231202100
5113344112341112422
62105440142142520
7134336631252450
oct17003706554220
93577001218563
101031314004112
11368417961737
12147a60b81a40
137633895cb62
1437cb71b9d60
151bc608e9b0c
hexf01f1ad890

1031314004112 has 160 divisors (see below), whose sum is σ = 3074589999360. Its totient is φ = 291784550400.

The previous prime is 1031314004093. The next prime is 1031314004179. The reversal of 1031314004112 is 2114004131301.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 69614818 + ... + 69629630.

It is an arithmetic number, because the mean of its divisors is an integer number (19216187496).

Almost surely, 21031314004112 is an apocalyptic number.

1031314004112 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 1031314004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537294999680).

1031314004112 is an abundant number, since it is smaller than the sum of its proper divisors (2043275995248).

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

1031314004112 is a wasteful number, since it uses less digits than its factorization.

1031314004112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16841 (or 16835 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1031314004112 its reverse (2114004131301), we get a palindrome (3145318135413).

The spelling of 1031314004112 in words is "one trillion, thirty-one billion, three hundred fourteen million, four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 436 654 763 872 1308 1526 1744 1901 2289 2616 3052 3802 4578 5232 5703 6104 7604 9156 11406 12208 13307 14813 15208 18312 22812 26614 29626 30416 36624 39921 44439 45624 53228 59252 79842 88878 91248 103691 106456 118504 159684 177756 207209 207382 212912 237008 311073 319368 355512 414418 414764 621627 622146 638736 711024 828836 829528 1243254 1244292 1450463 1614617 1657672 1659056 2486508 2488584 2900926 3229234 3315344 4351389 4843851 4973016 4977168 5801852 6458468 8702778 9687702 9946032 11302319 11603704 12916936 17405556 19375404 22604638 23207408 25833872 28159513 33906957 34811112 38750808 45209276 56319026 67813914 69622224 77501616 84478539 90418552 112638052 135627828 168957078 180837104 197116591 225276104 271255656 337914156 394233182 450552208 542511312 591349773 675828312 788466364 1182699546 1351656624 1576932728 2365399092 3069386917 3153865456 4730798184 6138773834 9208160751 9461596368 12277547668 18416321502 21485708419 24555095336 36832643004 42971416838 49110190672 64457125257 73665286008 85942833676 128914250514 147330572016 171885667352 257828501028 343771334704 515657002056 1031314004112